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Algebraic homotopy

Baues, Hans J., (1943-)

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Algebraic homotopy

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebraic homotopy/ Hans Joachim Baues.
Author:	Baues, Hans J.,
Published:	Cambridge :Cambridge University Press, : 1989.,
Description:	xix, 466 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Homotopy theory. -
Online resource:	https://doi.org/10.1017/CBO9780511662522
ISBN:	9780511662522

Algebraic homotopy
Baues, Hans J.,1943-

Algebraic homotopy[electronic resource] /Hans Joachim Baues. - Cambridge :Cambridge University Press,1989. - xix, 466 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;15. - Cambridge studies in advanced mathematics ;15..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511662522Subjects--Topical Terms:

604501
Homotopy theory.

LC Class. No.: QA612.7 / .B385 1989

Dewey Class. No.: 514.24

Algebraic homotopy
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020 $a 9780511662522 $q (electronic bk.)
020 $a 9780521333764 $q (hardback)
020 $a 9780521055314 $q (paperback)
035 $a CR9780511662522
040 $a UkCbUP $b eng $c UkCbUP $d GP
041 0 $a eng
050 4 $a QA612.7 $b .B385 1989
082 0 4 $a 514.24 $2 19
090 $a QA612.7 $b .B344 1989
100 1 $a Baues, Hans J., $d 1943- $3 661944
245 1 0 $a Algebraic homotopy $h [electronic resource] / $c Hans Joachim Baues.
260 $a Cambridge : $b Cambridge University Press, $c 1989.
300 $a xix, 466 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 15
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Homotopy theory. $3 604501
650 0 $a Categories (Mathematics) $3 525955
830 0 $a Cambridge studies in advanced mathematics ; $v 15. $3 3470576
856 4 0 $u https://doi.org/10.1017/CBO9780511662522