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The Resource Introduction to homotopy theory, Martin Arkowitz

Introduction to homotopy theory, Martin Arkowitz

Label
Introduction to homotopy theory
Title
Introduction to homotopy theory
Statement of responsibility
Martin Arkowitz
Creator
Subject
Language
eng
Summary
This is a book in pure mathematics dealing with homotopy theory, one of the main branches of algebraic topology. The principal topics are as follows: - Basic homotopy; - H-spaces and co-H-spaces; - Fibrations and cofibrations; - Exact sequences of homotopy sets, actions, and coactions; - Homotopy pushouts and pullbacks; - Classical theorems, including those of Serre, Hurewicz, Blakers-Massey, and Whitehead; - Homotopy sets; - Homotopy and homology decompositions of spaces and maps; and - Obstruction theory. The underlying theme of the entire book is the Eckmann-Hilton duality theory. This approach provides a unifying motif, clarifies many concepts, and reduces the amount of repetitious material. The subject matter is treated carefully with attention to detail, motivation is given for many results, there are several illustrations, and there are a large number of exercises of varying degrees of difficulty. It is assumed that the reader has had some exposure to the rudiments of homology theory and fundamental group theory; these topics are discussed in the appendices. The book can be used as a text for the second semester of an algebraic topology course. The intended audience of this book is advanced undergraduate or graduate students. The book could also be used by anyone with a little background in topology who wishes to learn some homotopy theory
Member of
Cataloging source
E7B
http://library.link/vocab/creatorDate
1935-
http://library.link/vocab/creatorName
Arkowitz, M.
Dewey number
514/.24
Illustrations
illustrations
Index
index present
Language note
English
LC call number
QA612.7
LC item number
.A75 2011eb
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Homotopy theory
  • Homotopy theory
Label
Introduction to homotopy theory, Martin Arkowitz
Instantiates
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Basic homotopy -- 2. H-spaces and Co-H-spaces -- 3. Cofibrations and fibrations -- 4. Exact sequences -- 5. Applications of exactness -- 6. Homotopy pushouts and pullbacks -- 7. Homotopy and homology decompositions -- 8. Homotopy sets -- 9. Obstruction theory
Control code
747413731
Dimensions
unknown
Extent
1 online resource (xiii, 344 pages)
Form of item
online
Isbn
9781441973290
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4419-7329-0
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)747413731
Label
Introduction to homotopy theory, Martin Arkowitz
Publication
Bibliography note
Includes bibliographical references and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
1. Basic homotopy -- 2. H-spaces and Co-H-spaces -- 3. Cofibrations and fibrations -- 4. Exact sequences -- 5. Applications of exactness -- 6. Homotopy pushouts and pullbacks -- 7. Homotopy and homology decompositions -- 8. Homotopy sets -- 9. Obstruction theory
Control code
747413731
Dimensions
unknown
Extent
1 online resource (xiii, 344 pages)
Form of item
online
Isbn
9781441973290
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-1-4419-7329-0
Other physical details
illustrations.
Specific material designation
remote
System control number
(OCoLC)747413731

Library Locations

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      38.944491 -92.326012
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