Basic topology 2 [Documento eletrónico] : topological groups, topology of manifolds and lie groups / by Avishek Adhikari, Mahima Ranjan Adhikari
Language: eng.Country: SG - Singapura.Publication: Singapore : Springer Nature Singapore, Springer, 2022Description: XXIV, 367 p. : il.ISBN: 978-981-16-6577-6.Subject - Topical Name: Topology | Mathematical analysis Online Resources:Click here to access onlineItem type | Current library | Collection | Call number | Copy number | Status | Date due | Barcode | |
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E-Books | Biblioteca NOVA FCT Online | Não Ficção | QA611.SPR FCT (Browse shelf(Opens below)) | 1 | Available | 95386 |
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QA611.SPR FCT Introduction to topology | QA611.SPR FCT Dimension theory, a selection of theorems and counterexamples | QA611.SPR FCT Invertible fuzzy topological spaces | QA611.SPR FCT Basic topology 2, topological groups, topology of manifolds and lie groups | QA611.SPR FCT Topology of polymers | QA611.SPR FCT Topology and k-theory, lectures by daniel quillen | QA611.SPR FCT Hamiltonian group actions and equivariant cohomology |
This second of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, algebra, and the theory of numbers. Offering a proper background on topology, analysis, and algebra, this volume discusses the topological groups and topological vector spaces that provide many interesting geometrical objects which relate algebra with geometry and analysis. This volume follows a systematic and comprehensive elementary approach to the topology related to manifolds, emphasizing differential topology. It further communicates the history of the emergence of the concepts leading to the development of topological groups, manifolds, and also Lie groups as mathematical topics with their motivations. This book will promote the scope, power, and active learning of the subject while covering a wide range of theories and applications in a balanced unified way.
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