001461149 000__ 03686cam\a22005897i\4500 001461149 001__ 1461149 001461149 003__ OCoLC 001461149 005__ 20230502014307.0 001461149 006__ m\\\\\o\\d\\\\\\\\ 001461149 007__ cr\un\nnnunnun 001461149 008__ 230322s2022\\\\si\a\\\\ob\\\\000\0\eng\d 001461149 019__ $$a1373337015 001461149 020__ $$a9789811665509$$q(electronic bk.) 001461149 020__ $$a9811665508$$q(electronic bk.) 001461149 020__ $$z9811665494 001461149 020__ $$z9789811665493 001461149 0247_ $$a10.1007/978-981-16-6550-9$$2doi 001461149 035__ $$aSP(OCoLC)1373706613 001461149 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dUKAHL$$dOCLCF 001461149 049__ $$aISEA 001461149 050_4 $$aQA612 001461149 08204 $$a514/.2$$223/eng/20230322 001461149 1001_ $$aAdhikari, Mahima Ranjan,$$eauthor. 001461149 24510 $$aBasic topology.$$n3,$$pAlgebraic topology and topology of fiber bundles /$$cMahima Ranjan Adhikari. 001461149 24630 $$aAlgebraic topology and topology of fiber bundles 001461149 264_1 $$aSingapore :$$bSpringer,$$c2022. 001461149 300__ $$a1 online resource (xxv, 468 pages) :$$billustrations (some color) 001461149 336__ $$atext$$btxt$$2rdacontent 001461149 337__ $$acomputer$$bc$$2rdamedia 001461149 338__ $$aonline resource$$bcr$$2rdacarrier 001461149 504__ $$aIncludes bibliographical references. 001461149 5050_ $$a1. Prerequisite Concepts of Topology, Algebra and Category Theory -- 2. Homotopy Theory: Fundamental and Higher Homotopy Groups -- 3. Homology and Cohomology Theories: An Axiomatic Approach with Consequences -- 4. Topology of Fiber Bundles -- 5. Homotopy Theory of Bundles -- 6. Some Applications of Algebraic Topology -- 7. Brief History on Algebraic Topology and Fiber Bundles. 001461149 506__ $$aAccess limited to authorized users. 001461149 520__ $$aThis third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way. 001461149 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed March 22, 2023). 001461149 650_0 $$aAlgebraic topology. 001461149 655_0 $$aElectronic books. 001461149 77608 $$iPrint version: $$z9811665494$$z9789811665493$$w(OCoLC)1265456042 001461149 852__ $$bebk 001461149 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-6550-9$$zOnline Access$$91397441.1 001461149 909CO $$ooai:library.usi.edu:1461149$$pGLOBAL_SET 001461149 980__ $$aBIB 001461149 980__ $$aEBOOK 001461149 982__ $$aEbook 001461149 983__ $$aOnline 001461149 994__ $$a92$$bISE