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Basic topology.3,Algebraic topology and topology of fiber bundles

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Basic topology.by Mahima Ranjan Adhikari.
其他題名:	Algebraic topology and topology of fiber bundles
作者:	Adhikari, Mahima Ranjan.
出版者:	Singapore :Springer Nature Singapore :2022.
面頁冊數:	xxv, 468 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Algebraic topology.
電子資源:	https://doi.org/10.1007/978-981-16-6550-9
ISBN:	9789811665509$q(electronic bk.)

Basic topology.3,Algebraic topology and topology of fiber bundles
Adhikari, Mahima Ranjan.

Basic topology.3,Algebraic topology and topology of fiber bundles[electronic resource] /Algebraic topology and topology of fiber bundlesby Mahima Ranjan Adhikari. - Singapore :Springer Nature Singapore :2022. - xxv, 468 p. :ill. (some col.), digital ;24 cm.

1. Prerequisite Concepts of Topology, Algebra and Category Theory -- 2. Homotopy Theory: Fundamental and Higher Homotopy Groups -- 3. Homology and Cohomology Theories: An Axiomatic Approach with Consequences -- 4. Topology of Fiber Bundles -- 5. Homotopy Theory of Bundles -- 6. Some Applications of Algebraic Topology -- 7. Brief History on Algebraic Topology and Fiber Bundles.

This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way.

ISBN: 9789811665509$q(electronic bk.)

Standard No.: 10.1007/978-981-16-6550-9doiSubjects--Topical Terms:

189702
Algebraic topology.

LC Class. No.: QA612

Dewey Class. No.: 514.2

Basic topology.3,Algebraic topology and topology of fiber bundles
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520 $a This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way.
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