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Differential topology[electronic res...

Wall, C. T. C.

Differential topology[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	514.72
書名/作者:	Differential topology/ C. T. C. Wall.
作者:	Wall, C. T. C.
出版者:	Cambridge : : Cambridge University Press,, 2016.
面頁冊數:	vii, 346 p. : : ill., digital ;; 24 cm.
標題:	Differential topology.
ISBN:	9781316597835
ISBN:	9781107153523
摘要、提要註:	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.
電子資源:	https://doi.org/10.1017/CBO9781316597835

Differential topology[electronic resource] /
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: 9781316597835Subjects--Topical Terms:

556911
Differential topology.

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

Dewey Class. No.: 514.72

Differential topology[electronic resource] /
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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.
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