Basic topology 3, algebraic topology and topology of fiber bundles
Adhikari, Mahima Ranjan
Basic topology 3 : algebraic topology and topology of fiber bundles [Documento eletrónico] / by Mahima Ranjan Adhikari. - Singapore : Springer Nature Singapore , 2022 . - XXV, 468 p. : il.. 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-981-16-6550-9
Topology
Mathematical analysis
Algebra
LCC QA611-614.97
Basic topology 3 : algebraic topology and topology of fiber bundles [Documento eletrónico] / by Mahima Ranjan Adhikari. - Singapore : Springer Nature Singapore , 2022 . - XXV, 468 p. : il.. 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.
Clicar aqui para aceder a um recurso externo
ISBN 978-981-16-6550-9
Topology
Mathematical analysis
Algebra
LCC QA611-614.97
