The Resource Algebraic homotopy, Hans Joachim Baues

Algebraic homotopy, Hans Joachim Baues

Label
Algebraic homotopy
Title
Algebraic homotopy
Statement of responsibility
Hans Joachim Baues
Creator
Author
Subject
Language
eng
Summary
This book gives a general outlook on homotopy theory; fundamental concepts, such as homotopy groups and spectral sequences, are developed from a few axioms and are thus available in a broad variety of contexts. Many examples and applications in topology and algebra are discussed, including an introduction to rational homotopy theory in terms of both differential Lie algebras and De Rham algebras. The author describes powerful tools for homotopy classification problems, particularly for the classification of homotopy types and for the computation of the group homotopy equivalences. Applications and examples of such computations are given, including when the fundamental group is non-trivial. Moreover, the deep connection between the homotopy classification problems and the cohomology theory of small categories is demonstrated. The prerequisites of the book are few: elementary topology and algebra. Consequently, this account will be valuable for non-specialists and experts alike. It is an important supplement to the standard presentations of algebraic topology, homotopy theory, category theory and homological algebra
Member of
Cataloging source
UkCbUP
http://library.link/vocab/creatorDate
1943-
http://library.link/vocab/creatorName
Baues, Hans J.
Dewey number
514/.24
Index
index present
LC call number
QA612.7
LC item number
.B385 1989
Literary form
non fiction
Nature of contents
dictionaries
Series statement
Cambridge studies in advanced mathematics
Series volume
15
http://library.link/vocab/subjectName
  • Homotopy theory
  • Categories (Mathematics)
Label
Algebraic homotopy, Hans Joachim Baues
Link
https://doi.org/10.1017/CBO9780511662522
Instantiates
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Extent
1 online resource (xix, 466 pages)
Form of item
online
Isbn
9780511662522
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9780511662522
Label
Algebraic homotopy, Hans Joachim Baues
Link
https://doi.org/10.1017/CBO9780511662522
Publication
Note
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Extent
1 online resource (xix, 466 pages)
Form of item
online
Isbn
9780511662522
Isbn Type
(ebook)
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other physical details
digital, PDF file(s).
Specific material designation
remote
System control number
(UkCbUP)CR9780511662522

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