東華大學圖書館 |

語系: 繁體中文

說明(常見問題)

回圖書館首頁

手機版館藏查詢

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Algebraic homotopy

Baues, Hans J., (1943-)

FindBook

Google Book

Amazon

博客來

Algebraic homotopy

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Algebraic homotopy/ Hans Joachim Baues.
作者:	Baues, Hans J.,
出版者:	Cambridge :Cambridge University Press, : 1989.,
面頁冊數:	xix, 466 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	Homotopy theory. -
電子資源:	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
LDR:02035nmm a2200277 a 4500 001 2227258
003 UkCbUP
005 20151005020621.0
006 m d
007 cr nn 008maaau
008 210414s1989 enk o 1 0 eng d
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