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001448233 001__ 1448233
001448233 003__ OCoLC
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001448233 019__ $$a1334654463$$a1334891893
001448233 020__ $$a9789811665097$$q(electronic bk.)
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001448233 0247_ $$a10.1007/978-981-16-6509-7$$2doi
001448233 035__ $$aSP(OCoLC)1336594855
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001448233 049__ $$aISEA
001448233 050_4 $$aQA611
001448233 08204 $$a514$$223/eng/20220719
001448233 1001_ $$aAdhikari, Avishek,$$d1983-$$eauthor.$$1https://isni.org/isni/0000000449424701
001448233 24510 $$aBasic topology.$$n1,$$pMetric spaces and general topology /$$cAvishek Adhikari, Mahima Ranjan Adhikari.
001448233 24630 $$aMetric spaces and general topology
001448233 264_1 $$aSingapore :$$bSpringer,$$c2022.
001448233 300__ $$a1 online resource :$$billustrations (black and white, and color).
001448233 336__ $$atext$$btxt$$2rdacontent
001448233 337__ $$acomputer$$bc$$2rdamedia
001448233 338__ $$aonline resource$$bcr$$2rdacarrier
001448233 5050_ $$a1. Prerequisites: Sets, Algebraic Systems, and Classical Analysis -- 2. Metric Spaces and Normed Linear Spaces -- 3. Topological Spaces and Continuous Maps -- 4. Separation Axioms -- 5. Compactness and Connectedness -- 6. Real-valued Continuous Functions -- 7. Countability, Separability and Embedding -- 8. Brief History of General Topology.
001448233 506__ $$aAccess limited to authorized users.
001448233 520__ $$aThis first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in the Euclidean space. The special structure of a metric space induces a topology that leads to many applications of topology in modern analysis and modern algebra, as shown in this volume. This volume also studies topological properties such as compactness and connectedness. Considering the importance of compactness in mathematics, this study covers the StoneCech compactification and Alexandroff one-point compactification. This volume also includes the Urysohn lemma, Urysohn metrization theorem, Tietz extension theorem, and GelfandKolmogoroff theorem. The content of this volume is spread into eight chapters of which the last chapter conveys the history of metric spaces and the history of the emergence of the concepts leading to the development of topology as a subject with their motivations with an emphasis on general topology. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power, and active learning of the subject, all the while covering a wide range of theories and applications in a balanced unified way.
001448233 588__ $$aDescription based on print version record.
001448233 650_0 $$aTopology.
001448233 650_0 $$aMetric spaces.
001448233 655_7 $$aLlibres electrònics.$$2thub
001448233 655_0 $$aElectronic books.
001448233 7001_ $$aAdhikari, Mahima Ranjan,$$eauthor.$$1https://isni.org/isni/0000000446225168
001448233 77608 $$iPrint version:$$aAdhikari, Avishek, 1983-$$tBasic topology 1.$$dSingapore : Springer, 2022$$z9789811665080$$w(OCoLC)1295105228
001448233 852__ $$bebk
001448233 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-981-16-6509-7$$zOnline Access$$91397441.1
001448233 909CO $$ooai:library.usi.edu:1448233$$pGLOBAL_SET
001448233 980__ $$aBIB
001448233 980__ $$aEBOOK
001448233 982__ $$aEbook
001448233 983__ $$aOnline
001448233 994__ $$a92$$bISE