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Fibrations and their classification / Petar Pavešić, Renzo A. Piccinini.

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Author/Creator:
Pavešić, Petar.
Language:
English.
Publication date:
2013
Imprint:
Lemgo : Heldermann Verlag, c2013.
Format:
  • Book
  • xiii, 158 pages : illustrations ; 25 cm.
Bibliography:
Includes bibliographical references and index.
Contents:
  • Preliminaries
  • k-spaces
  • Arrows
  • Cofibrations and telescopes
  • Fibrations
  • General theory of fibrations
  • Hurewicz fibrations
  • Dold fibrations
  • Serre fibrations
  • Quasifibrations
  • Brownian classification
  • Preliminaries
  • Equivalence classes of fibrations
  • Classification of grounded fibrations
  • Classification of fibrations
  • Classifying spaces and fibrations
  • The Dold-Lashof construction
  • Classification of F-fibrations
  • The Milgram-Steenrod construction
  • Enlargements and contractions
  • Enlargements
  • The construction
  • Cellular structures
  • F-fibrations
  • F-fibrations
  • F-arrows
  • Functional arrows
  • Dold's theorem for F-arrows
  • F-fibrations
  • Numerable F-fibrations
  • Categories of fibres
  • Classification of F-fibrations
  • Principal arrows
  • Equivalent classifications
  • Criteria for universality
  • Universal F-fibrations
  • Dold-Lashof revisited
  • Modified Dold-Lashof construction
  • Applications
  • Gottlieb theorems for F-fibrations
  • Total Spaces of universal F-fibrations
  • Spaces of seif F-equivalences
  • Bibliography
  • Index.
Contributor:
Piccinini, Renzo A., 1933-
Series:
Research and exposition in mathematics ; volume 33
Research and exposition in mathematics v. 33.
Subjects:
ISBN:
9783885382331
3885382334

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