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Cellular structures in topology

Fritsch, Rudolf, (1939-)

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Cellular structures in topology

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Cellular structures in topology/ Rudolf Fritsch, Renzo A. Piccinini.
作者:	Fritsch, Rudolf,
其他作者:	Piccinini, Renzo A.,
出版者:	Cambridge :Cambridge University Press, : 1990.,
面頁冊數:	xi, 326 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
標題:	CW complexes. -
電子資源:	https://doi.org/10.1017/CBO9780511983948
ISBN:	9780511983948

Cellular structures in topology
Fritsch, Rudolf,1939-

Cellular structures in topology[electronic resource] /Rudolf Fritsch, Renzo A. Piccinini. - Cambridge :Cambridge University Press,1990. - xi, 326 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;19. - Cambridge studies in advanced mathematics ;19..

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

This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory.

ISBN: 9780511983948Subjects--Topical Terms:

708327
CW complexes.

LC Class. No.: QA611.35 / .F75 1990

Dewey Class. No.: 514.223

Cellular structures in topology
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500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a This book describes the construction and the properties of CW-complexes. These spaces are important because firstly they are the correct framework for homotopy theory, and secondly most spaces that arise in pure mathematics are of this type. The authors discuss the foundations and also developments, for example, the theory of finite CW-complexes, CW-complexes in relation to the theory of fibrations, and Milnor's work on spaces of the type of CW-complexes. They establish very clearly the relationship between CW-complexes and the theory of simplicial complexes, which is developed in great detail. Exercises are provided throughout the book; some are straightforward, others extend the text in a non-trivial way. For the latter; further reference is given for their solution. Each chapter ends with a section sketching the historical development. An appendix gives basic results from topology, homology and homotopy theory. These features will aid graduate students, who can use the work as a course text. As a contemporary reference work it will be essential reading for the more specialized workers in algebraic topology and homotopy theory.
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