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020 _a9789811369544
_9978-981-13-6954-4
024 7 _a10.1007/978-981-13-6954-4
_2doi
040 _cCUS
050 4 _aQA611-614.97
072 7 _aPBP
_2bicssc
072 7 _aMAT038000
_2bisacsh
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_2thema
082 0 4 _a514
_223
100 1 _aSingh, Tej Bahadur.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aIntroduction to Topology
_h[electronic resource] /
_cby Tej Bahadur Singh.
250 _a1st ed. 2019.
264 1 _aSingapore :
_bSpringer Singapore :
_bImprint: Springer,
_c2019.
300 _aXIX, 452 p. 93 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _aChapter 1. Topological Spaces -- Chapter 2. Continuity and Products -- Chapter 3. Connectedness -- Chapter 4. Convergence -- Chapter 5. Countability axioms -- Chapter 6. Compactness -- Chapter 7. Topological Constructions -- Chapter 8. Separation Axioms -- Chapter 9. Paracompactness and Metrisability -- Chapter 10. Completeness -- Chapter 11. Function Spaces -- Chapter 12. Topological Groups -- Chapter 13. Transformation Groups -- Chapter 14. The fundamental Group -- Chapter 15. Covering Spaces.
520 _aTopology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.
650 0 _aTopology.
650 0 _aFunctional analysis.
650 1 4 _aTopology.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M28000
650 2 4 _aFunctional Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M12066
856 4 0 _uhttps://doi.org/10.1007/978-981-13-6954-4
912 _aZDB-2-SMA
912 _aZDB-2-SXMS
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999 _c205920
_d205920