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Fibrations and their classification

Author: Petar Pavešić; Renzo A Piccinini
Publisher: Lemgo : Heldermann Verlag, [2013]. ©2013
Series: Research and exposition in mathematics, v. 33.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
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Document Type: Book
All Authors / Contributors: Petar Pavešić; Renzo A Piccinini
ISBN: 9783885382331 3885382334
OCLC Number: 844684208
Description: xiii, 158 pages : illustrations ; 25 cm.
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.
Series Title: Research and exposition in mathematics, v. 33.
Responsibility: Petar Pavešić, Renzo A. Piccinini.

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