000			01847nam a22002775i 4500
001			92310
005			20231109155043.0
010			_a978-981-16-6550-9 _dcompra
090			_a92310
100			_a20231023d2022 k||y0pory50 ba
101	0		_aeng
102			_aSG
200	1		_aBasic topology 3 _bDocumento eletrónico _ealgebraic topology and topology of fiber bundles _fby Mahima Ranjan Adhikari
210			_aSingapore _cSpringer Nature Singapore _d2022
215			_aXXV, 468 p. _cil.
303			_aThis 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.
606			_aTopology
606			_aMathematical analysis
606			_aAlgebra
680			_aQA611-614.97
700			_916185 _aAdhikari _bMahima Ranjan
801		0	_aPT _gRPC
856	4		_uhttps://doi.org/10.1007/978-981-16-6550-9
942			_2lcc _cF _n0