Basic topology 3 [Documento eletrónico] : algebraic topology and topology of fiber bundles / by Mahima Ranjan Adhikari
Language: eng.Country: SG - Singapura.Publication: Singapore : Springer Nature Singapore, 2022Description: XXV, 468 p. : il.ISBN: 978-981-16-6550-9.Subject - Topical Name: Topology | Mathematical analysis | Algebra Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
---|---|---|---|---|---|---|---|---|
E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA611.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 96982 |
Browsing Biblioteca NOVA FCT shelves, Shelving location: Online, Collection: Não Ficção Close shelf browser (Hides shelf browser)
QA611.SPR FCT Topology and geometry of intersections of ellipsoids in R^n | QA611.SPR FCT Basic topology 1, metric spaces and general topology | QA611.SPR FCT Topology, an invitation | QA611.SPR FCT Basic topology 3, algebraic topology and topology of fiber bundles | QA611.SPR FCT Handbook of geometry and topology of singularities II | QA611.SPR FCT Advances in topology and their interdisciplinary applications | QA611.SPR FCT 81207 Topology, geometry and gauge fields, foundations |
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.
There are no comments on this title.