1 - 20
Next
Number of results to display per page
1. Computational topology for data analysis [2022]
- Dey, Tamal K. (Tamal Krishna), 1964- author.
- Cambridge, United Kingdom ; New York, NY : Cambridge University Press, 2022.
- Description
- Book — 1 online resource (xix, 433 pages) : illustrations
- Summary
-
- 1. Basics
- 2. Complexes and homology groups
- 3. Topological persistence
- 4. General persistence
- 5. Generators and optimality
- 6. Topological analysis of point clouds
- 7. Reeb graphs
- 8. Topological analysis of graphs
- 9. Cover, nerve and Mapper
- 10. Discrete Morse theory and applications
- 11. Multiparameter persistence and decomposition
- 12. Multiparameter persistence and distances
- 13. Topological persistence and machine learning.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
2. Lecture notes on general topology [2021]
- Wang, Guoliang, author.
- Beijing, China : Higher Education Press Limited Company ; Singapore ; Hackensack, NJ : World Scientific Publishing Company Co. Pte. Ltd., [2021]
- Description
- Book — 1 online resource
- Summary
-
- Preface
- Introduction
- Topological Spaces
- Continuous Maps and Homeomorphisms
- Connectedness
- Separation Axioms and Quotient Axioms
- Compactness
- Product Spaces and Quotient Spaces
- Appendix: Some Elementary Inequalities--.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
3. Introduction to topology [2019]
- Singh, Tej Bahadur, author.
- Singapore : Springer, [2019]
- Description
- Book — 1 online resource Digital: text file.PDF.
- Summary
-
- Chapter 1. Topological Spaces.-
- Chapter 2. Continuity and Products.-
- Chapter 3. Connectedness.-
- Chapter 4. Convergence.-
- Chapter 5. Countability axioms.-
- Chapter 6. Compactness.-
- Chapter 7. Topological Constructions.-
- Chapter 8. Separation Axioms.-
- Chapter 9. Paracompactness and Metrisability.-
- Chapter 10. Completeness.-
- Chapter 11. Function Spaces.-
- Chapter 12. Topological Groups.-
- Chapter 13. Transformation Groups.-
- Chapter 14. The fundamental Group.-
- Chapter 15. Covering Spaces.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
4. Topology : a very short introduction [2019]
- Earl, Richard, author.
- Oxford : Oxford University Press, 2019.
- Description
- Book — 1 online resource : illustrations.
- Summary
-
- 1: What is Topology?
- 2: Making Surfaces
- 3: Thinking Continuously
- 4: The Plane and Other Spaces
- 5: Flavours of Topology
- 6: More on Surfaces
- 7: Knot to Be Historical Timeline Further Reading Index.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
5. Relational topology [2018]
- Schmidt, Gunther, 1939- author.
- Cham, Switzerland : Springer, [2018]
- Description
- Book — xiv, 191 pages : illustrations (some color) ; 24 cm.
- Summary
-
- 1.Introduction.-
- 2. Prerequisites.-
- 3. Products of Relations.-
- 4. Meet and Join as Relations.-
- 5. Applying Relations in Topology.-
- 6. Construction of Topologies.-
- 7. Closures and their Aumann Contacts.-
- 8. Proximity and Nearness.-
- 9. Frames.-
- 10. Simplicial Complexes.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Serials | |
Shelved by Series title V.2208 | Unknown |
- Ault, Shaun V., author.
- Baltimore : Johns Hopkins University Press, 2018.
- Description
- Book — x, 399 pages : illustrations ; 26 cm
- Summary
-
- PrefaceI Euclidean Topolog
- y1. Introduction to Topology1.1 Deformations1.2 Topological Space
- s2. Metric Topology in Euclidean Space2.1 Distance2.2 Continuity and Homeomorphism2.3 Compactness and Limits2.4 Connectedness2.5 Metric Spaces in Genera
- l3. Vector Fields in the Plane3.1 Trajectories and Phase Portraits3.2 Index of a Critical Point3.3 *Nullclines and Trapping RegionsII Abstract Topology with Application
- s4. Abstract Point-Set Topology4.1 The Definition of a Topology4.2 Continuity and Limits4.3 Subspace Topology and Quotient Topology4.4 Compactness and Connectedness4.5 Product and Function Spaces4.6 *The Infinitude of the Prime
- s5. Surfaces5.1 Surfaces and Surfaces-with-Boundary5.2 Plane Models and Words5.3 Orientability5.4 Euler Characteristi
- c6. Applications in Graphs and Knots6.1 Graphs and Embeddings6.2 Graphs, Maps, and Coloring Problems6.3 Knots and Links6.4 Knot ClassificationIII Basic Algebraic Topolog
- y7. The Fundamental Group7.1 Algebra of Loops7.2 Fundamental Group as Topological Invariant7.3 Covering Spaces and the Circle7.4 Compact Surfaces and Knot Complements7.5 *Higher Homotopy Group
- s8. Introduction to Homology8.1 Rational Homology8.2 Integral HomologyAppendixesA. Review of Set Theory and FunctionsA.1 Sets and Operations on SetsA.2 Relations and FunctionsB. Group Theory and Linear AlgebraB.1 GroupsB.2 Linear AlgebraC. Selected SolutionsD. NotationsBibliographyIndex.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA611 .A86 2018 | Unknown |
- Isobe, Hiroki, author.
- Singapore : Springer, 2017.
- Description
- Book — 1 online resource () : color illustrations.
- Summary
-
- 1 Introduction 1.1 Scope of the Thesis 1.2 Outline of the Thesis 1.3 Quantum Hall States 1.4 Topological Insulators 1.5 Weyl and Dirac Semimetals 1.6 -(BEDT-TTF)2I3 1.7 Topological Mott Insulators 1.8 Topological Crystalline Insulators 1.9 Classification of Topological States of Matter 2 Interacting Dirac Fermions in (3+1) Dimensions 2.1 Model 2.2 Renormalization Group Analysis 2.3 Density of States 2.4 Electromagnetic Properties 2.5 Spectral Function 2.6 Electric Conductivity 2.7 Energy Gap 2.8 Discussions and Summary 3 Tilted Dirac Cones in Two Dimensions 3.1 Model 3.2 Perturbative Renormalization Group Analysis 3.3 Spin Susceptibility 3.4 Discussions and Summary 4 Generalized Hund's Rule for Two-Atom Systems 4.1 Model 4.2 Results 4.3 Perturbative Calculation 4.4 Entanglement Entropy 4.5 Symmetry 4.6 Discussions and Summary 5 Interacting Topological Crystalline Insulators 5.1 Classification in Two Dimensions 5.2 Interacting TCIs in Three Dimensions 5.3 Discussions and Summary 6 Conclusions and Prospects.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
-
- EBSCOhost Access limited to 1 user
- Google Books (Full view)
8. Recent progress in general topology III [2014]
- [Place of publication not identified] : Atlantis Press, 2014.
- Description
- Book — 1 online resource (880 pages) : illustrations Digital: text file.PDF.
- Summary
-
- Topological Homogeneity.- Some Recent Progress Concerning Topology of Fractals.- A biased view of topology as a tool in functional analysis.- Large scale versus small scale.- Descriptive aspects of Rosenthal compacta.- Minimality conditions in topological groups.- Set-Theoretic update on Topology.- Topics in Dimension Theory.- Representations of dynamical systems on Banach spaces.- Generalized metrizable spaces.- Permanence in Coarse Geometry.- Selections and Hyperspaces.- Continuum Theory.- Almost disjoint families and topology.- Some Topics in Geometric Topology II.- Topological aspects of dynamics of pairs, tuples and sets.- Continuous selections of multivalued mappings.- The combinatorics of open covers.- Covering properties.- Paratopological and semitopological groups vs topological groups.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
9. Topologia [2014]
- Manetti, Marco, author.
- 2a edizione. - Milan : Springer, 2014.
- Description
- Book — 1 online resource (xii, 338 pages) Digital: text file.PDF.
- Summary
-
- 1 Introduzione geometrica alla topologia
- 2 Insiemi
- 3 Strutture topologiche
- 4 Connessione e compattezza
- 5 Quozienti topologici
- 6 Successioni
- 7 Variet, prodotti infiniti e paracompattezza
- 8 Complementi di topologia generale
- 9 Intermezzo
- 10 Omotopia
- 11 Il gruppo fondamentale
- 12 Rivestimenti
- 13 Monodromia
- 14 Il teorema di Van Kampen
- 15 Complementi di topologia algebrica
- 16 Suggerimenti e soluzioni di alcuni esercizi.
10. Topology : an introduction [2014]
- Waldmann, Stefan, author.
- Cham : Springer, 2014.
- Description
- Book — 1 online resource (xii, 136 pages) : illustrations (some color) Digital: text file.PDF.
- Summary
-
- Introduction
- Topological Spaces and Continuity
- Construction of Topological Spaces
- Convergence in Topological Spaces
- Compactness
- Continuous Functions
- Baire's Theorem.
11. Introducció a la topologia [2011]
- Mascaró, F. (Francisca), author.
- 2a edició. - [València] : Universitat de València, [2013]
- Description
- Book — 1 online resource : illustrations.
12. A guide to topology [2009]
- Krantz, Steven G. (Steven George), 1951-
- [Washington, D.C.] : Mathematical Association of America, c2009.
- Description
- Book — xii, 107 p. : ill. ; 24 cm.
- Summary
-
- Preface
- Part I. Fundamentals: 1.1. What is topology?
- 1.2. First definitions
- 1.3 Mappings
- 1.4. The separation axioms
- 1.5. Compactness
- 1.6. Homeomorphisms
- 1.7. Connectedness
- 1.8. Path-connectedness
- 1.9. Continua
- 1.10. Totally disconnected spaces
- 1.11. The Cantor set
- 1.12. Metric spaces
- 1.13. Metrizability
- 1.14. Baire's theorem
- 1.15. Lebesgue's lemma and Lebesgue numbers
- Part II. Advanced Properties: 2.1 Basis and subbasis
- 2.2. Product spaces
- 2.3. Relative topology
- 2.4. First countable and second countable
- 2.5. Compactifications
- 2.6. Quotient topologies
- 2.7. Uniformities
- 2.8. Morse theory
- 2.9. Proper mappings
- 2.10. Paracompactness
- Part III. Moore-Smith Convergence and Nets: 3.1. Introductory remarks
- 3.2. Nets
- Part IV. Function Spaces: 4.1. Preliminary ideas
- 4.2. The topology of pointwise convergence
- 4.3. The compact-open topology
- 4.4. Uniform convergence
- 4.5. Equicontinuity and the Ascoli-Arzela theorem
- 4.6. The Weierstrass approximation theorem
- Table of notation
- Glossary
- Bibliography
- Index.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
Science Library (Li and Ma)
Science Library (Li and Ma) | Status |
---|---|
Stacks | |
QA611 .K683 2009 | Unknown |
13. A topological aperitif [2009]
- Huggett, S. A.
- Rev. ed. - London : Springer, 2009.
- Description
- Book — 1 online resource (ix, 152 pages) : illustrations
- Summary
-
- Homeomorphic Sets.- Topological Properties.- Equivalent Subsets.- Surfaces and Spaces.- Polyhedra.- Winding Number.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
14. Open problems in topology II [2007]
- 1st ed. - Amsterdam ; Boston : Elsevier, 2007.
- Description
- Book — xi, 763 p. : ill. ; 25 cm.
- Summary
-
- Part 1. General Topology 1. Selected ordered space problems (H. Bennett and D. Lutzer) 2. Problems on star-covering properties (M. Bonanzinga and M. Matveev) 3. Function space topologies (D.N. Georgiou, S.D. Iliadis and F. Mynard) 4. Spaces and mappings: special networks (C. Liu and Y. Tanaka) 5. Extension problems of real-valued continuous functions (H. Ohta and K. Yamazaki) 6. LE(k)-spaces (O. Okunev) 7. Problems on (ir) resolvability (O. Pavlov) 8. Topological games and Ramsey theory (M. Scheepers) 9. Selection principles and special sets of reals (B. Tsaban)
- Part 2. Set-theoretic Topology 10. Introduction: Twenty problems in set-theoretic topology (M. Hrusak and J.T. Moore) 11. Thin-tall spaces and cardinal sequences (J. Bagaria) 12. Sequential order (A. Dow) 13. On D-spaces (T. Eisworth) 14. The fourth head of BN (I. Farah) 15. Are stratifiable spaces M1? (G. Gruenhage) 16. Perfect compacta and basis problems in topology (G. Gruenhage and J.T. Moore) 17. Selection problems for hyperspaces (V. Gutev and T. Nogura) 18. Efimov's problem (K.P. Hart) 19. Completely separable MAD families (M. Hrusak and P. Simon) 20. Good, splendid and Jakovlev (I. Juhasz and W.A.R. Weiss) 21. Homogeneous compacta (J. van Mill) 22. Compact spaces with hereditarily normal squares (J.T. Moore) 23. The metrization problem for Frechet groups (J.T. Moore and S. Todorcevic) 24. Cech-Stone remainders of discrete spaces (P.J. Nyikos) 25. First countable, countably compact, noncompact spaces (P.J. Nyikos) 26. Linearly Lindeloef problems (E. Pearl) 27. Small Dowker spaces (P.J. Szeptycki) 28. Reflection of topological properties to N1 (F.D. Tall) 29. The Scarborough-Stone problem (J.E. Vaughan)
- Part 3. Continuum Theory 30. Questions in and out of context (D.P. Bellamy) 31. An update on the elusive fixed-point property (C.L. Hagopian) 32. Hyperspaces of continua (A. Ilanes) 33. Inverse limits and dynamical systems (W.T. Ingram) 34. Indecomposable continua (W. Lewis) 35. Open problems on dendroids (V. Martinez-de-la-Vega and J.M. Martinez-Montejano) 36. 1/2-Homogeneous continua (S.B. Nadler, Jr.) 37. Thirty open problems in the theory of homogeneous continua (J.R. Prajs)
- Part 4. Topological Algebra 38. Problems about the uniform structures of topological groups (A. Bouziad and J-P. Troallic) 39. On some special classes of continuous maps (M.M. Clementino and D. Hofmann) 40. Dense subgroups of compact groups (W.W. Comfort) 41. Selected topics from the structure theory of topological groups (D. Dikranjan and D. Shakhmatov) 42. Recent results and open questions relating Chu duality and Bohr compactifications of locally compact groups (J. Galindo, S. Hernandez and T-S. Wu) 43. Topological transformation groups: selected topics (M. Megrelishvili) 44. Forty-plus annotated questions about large topological groups (V. Pestov)
- Part 5. Dynamical Systems 45. Minimal flows (W.F. Basener, K. Parwani and T. Wiandt) 46. The dynamics of tiling spaces (A. Clark) 47. Open problems in complex dynamics and "complex" topology (R.L. Devaney) 48. The topology and dynamics of flows (M.C. Sullivan)
- Part 6. Computer Science 49. Computational topology (D. Blackmore and T.J. Peters)
- Part 7. Functional Analysis 50. Non-smooth analysis, optimisation theory and Banach space theory (J.M. Borwein and W.B. Moors) 51. Topological structures of ordinary differential equations (V.V. Filippov) 52. The interplay between compact spaces and the Banach spaces of their continuous functions (P. Koszmider) 53. Tightness and t-equivalence (O. Okunev) 54. Topological problems in nonlinear and functional analysis (B. Ricceri) 55. Twenty questions on metacompactness in function spaces (V.V. Tkachuk)
- Part 8. Dimension Theory 56. Open problems in infinite-dimensional topology (T. Banakh, R. Cauty and M. Zarichnyi) 57. Classical dimension theory (V.A. Chatyrko) 58. Questions on weakly infinite-dimensional spaces (V.V. Fedorchuk) 59. Some problems in the dimension theory of compacta (B.A. Pasynkov)
- Part 9. Invited Papers 60. Problems from the Lviv topological seminar (T. Banakh, B. Bokalo, I. Guran, T. Radul and M. Zarichnyi) 61. Problems from the Bizerte-Sfax-Tunis Seminar (O. Echi, H. Marzougui and E. Salhi) 62. Cantor set problems (D.J. Garity and D. Repovs) 63. Problems from the Galway Topology Colloquium (C. Good, A. Marsh, A. McCluskey and B. McMaster) 64. The lattice of quasi-uniformities (E.P. de Jager amd H-P.A. Kunzi) 65. Topology in North Bay: some problems in continuum theory, dimension theory and selections (A. Karasev, M. Tuncali and V. Valov) 66. Moscow questions on topological algebra (K.L. Kozlov, E.A. Reznichenko and O.V. Sipacheva) 67. Some problems from George Mason University (J. Kulesza, R. Levy and M. Matveev) 68. Some problems on generalized metrizable spaces (S. Lin) 69. Problems from the Madrid Department of Geometry and Topology (J.M.R. Sanjurjo) 70. Cardinal sequences and universal spaces (L. Soukup) List of contributors Index.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
-
- www.sciencedirect.com ScienceDirect
- Google Books (Full view)
SAL3 (off-campus storage)
SAL3 (off-campus storage) | Status |
---|---|
Stacks | Request (opens in new tab) |
QA611 .O562 2007 | Available |
- Bourbaki, Nicolas.
- Berlin : Springer, c2007.
- Description
- Book — 1 v. (various paging) : ill.
- Bourbaki, Nicolas.
- Berlin : Springer, c2007.
- Description
- Book — 328 p.
- Natiello, M. A. (Mario A.)
- Singapore ; New Jersey : World Scientific, c2007.
- Description
- Book — xiv, 127 p. : ill. (some col.).
- Summary
-
- A Crisis in the Experimental Method Archetype-- Orbit Organization in R2 x S1-- Braids as Indicators of Phase-Space Dynamics-- Braids and the Poincare Section-- Reconstruction of Phase-Space Dynamics
- Basic Course-- Reconstruction of Phase-Space Dynamics
- Advanced Course.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
18. Topology [2006]
- Lawson, Terry.
- Oxford : Oxford University Press, 2006.
- Description
- Book — 1 online resource (404 pages)
- Summary
-
- PART I: A GEOMETRIC INTRODUCTION TO TOPOLOGY
- PART II: COVERING SPACES, CW COMPLEXES AND HOMOLOGY.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
19. Topology : a geometric approach [2003]
- Lawson, Terry, 1945-
- Oxford ; New York : Oxford University Press, 2006.
- Description
- Book — xv, 388 p. : ill. ; 24 cm.
- Summary
-
- PART I: A GEOMETRIC INTRODUCTION TO TOPOLOGY
- PART II: COVERING SPACES, CW COMPLEXES AND HOMOLOGY.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
- Online
SAL3 (off-campus storage)
SAL3 (off-campus storage) | Status |
---|---|
Stacks | Request (opens in new tab) |
QA611 .L36 2006 | Available |
20. A taste of topology [2005]
- Runde, Volker.
- New York : Springer, c2005.
- Description
- Book — x, 176 p. : ill., map ; 23 cm.
- Summary
-
- Preface.- Introduction.- Set Theory.- Metric Spaces.- Set Theoretic Topology.- Systems of Continuous Functions.- Basic Algebraic Topology.- The Classical Mittag-Leffler Theorem Derived from Bourbaki?s.- Failure of the Heine-Borel Theorem in Infinite-Dimensional Spaces.- The Arzela-Ascoli Theorem.- References.- List of Symbols.- Index.
- (source: Nielsen Book Data)
(source: Nielsen Book Data)
SAL3 (off-campus storage)
SAL3 (off-campus storage) | Status |
---|---|
Stacks | Request (opens in new tab) |
QA611 .R85 2005 | Available |
Articles+
Journal articles, e-books, & other e-resources
Guides
Course- and topic-based guides to collections, tools, and services.