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Differential topology

Wall, C. T. C.

Differential topology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Differential topologyC. T. C. Wall.
Author:	Wall, C. T. C.
Published:	Cambridge :Cambridge University Press,2016.
Description:	vii, 346 p. :ill., digital ;24 cm.
Subject:	Differential topology.
Online resource:	https://doi.org/10.1017/CBO9781316597835
ISBN:	9781316597835$q(electronic bk.)

Differential topology
Wall, C. T. C.

Differential topology[electronic resource] /C. T. C. Wall. - Cambridge :Cambridge University Press,2016. - vii, 346 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;156. - Cambridge studies in advanced mathematics ;105..

Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.

ISBN: 9781316597835$q(electronic bk.)Subjects--Topical Terms:

212318
Differential topology.

LC Class. No.: QA613.6 / .W35 2016

Dewey Class. No.: 514.72

Differential topology
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260 $a Cambridge : $b Cambridge University Press, $c 2016.
300 $a vii, 346 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 156
520 $a Exploring the full scope of differential topology, this comprehensive account of geometric techniques for studying the topology of smooth manifolds offers a wide perspective on the field. Building up from first principles, concepts of manifolds are introduced, supplemented by thorough appendices giving background on topology and homotopy theory. Deep results are then developed from these foundations through in-depth treatments of the notions of general position and transversality, proper actions of Lie groups, handles (up to the h-cobordism theorem), immersions and embeddings, concluding with the surgery procedure and cobordism theory. Fully illustrated and rigorous in its approach, little prior knowledge is assumed, and yet growing complexity is instilled throughout. This structure gives advanced students and researchers an accessible route into the wide-ranging field of differential topology.
650 0 $a Differential topology. $3 212318
830 0 $a Cambridge studies in advanced mathematics ; $v 105. $3 541725
856 4 0 $u https://doi.org/10.1017/CBO9781316597835