000 01827nam a2200289Ia 4500
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005 20250823170545.0
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020 _a9781439871959
037 _cTextual
040 _aCSL
_beng
_cCSL
041 _aeng
084 _aB316 Q3;22
_qCSL
100 _aSingh, Tej Bahadur
_eauthor
_9447196
245 0 _aElements of topology
260 _aBoca Raton:
_bCRC Press,
_c2013.
300 _axxi, 530p.
_b: ill.
500 _aBibliography 525-526p.; Index 527-530p.
520 _aTopology is a large subject with many branches broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad variety of mathematical disciplines. Algebraic topology serves as a powerful tool for studying the problems in geometry and numerous other areas of mathematics. Elements of Topology provides a basic introduction to point-set topology and algebraic topology. It is intended for advanced undergraduate and beginning graduate students with working knowledge of analysis and algebra. Topics discussed include the theory of convergence, function spaces, topological transformation groups, fundamental groups, and covering spaces. The author makes the subject accessible by providing more than 250 worked examples and counterexamples with applications. The text also includes numerous end-of-section exercises to put the material into context.
650 _a Countability axioms
_9818711
650 _a Function spaces
_9818712
650 _a Separation axioms
_9818713
650 _aCovering spaces
_9818130
942 _hB316 Q3;22
_cTEXL
_2CC
_n0
999 _c6643
_d6643