000			03254nam a22004815i 4500
001			978-1-4419-7940-7
003			DE-He213
005			20140220083726.0
007			cr nn 008mamaa
008			101223s2011 xxu| s |||| 0|eng d
020			_a9781441979407 _9978-1-4419-7940-7
024	7		_a10.1007/978-1-4419-7940-7 _2doi
050		4	_aQA613-613.8
050		4	_aQA613.6-613.66
072		7	_aPBMS _2bicssc
072		7	_aPBPH _2bicssc
072		7	_aMAT038000 _2bisacsh
082	0	4	_a514.34 _223
100	1		_aLee, John M. _eauthor.
245	1	0	_aIntroduction to Topological Manifolds _h[electronic resource] / _cby John M. Lee.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2011.
300			_aXVII, 433 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aGraduate Texts in Mathematics, _x0072-5285 ; _v202
505	0		_aPreface -- 1 Introduction -- 2 Topological Spaces -- 3 New Spaces from Old -- 4 Connectedness and Compactness -- 5 Cell Complexes -- 6 Compact Surfaces -- 7 Homotopy and the Fundamental Group -- 8 The Circle -- 9 Some Group Theory -- 10 The Seifert-Van Kampen Theorem -- 11 Covering Maps -- 12 Group Actions and Covering Maps -- 13 Homology -- Appendix A: Review of Set Theory -- Appendix B: Review of Metric Spaces -- Appendix C: Review of Group Theory -- References -- Notation Index -- Subject Index.
520			_aThis book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. Although this second edition has the same basic structure as the first edition, it has been extensively revised and clarified; not a single page has been left untouched.  The major changes include a new introduction to CW complexes (replacing most of the material on simplicial complexes in Chapter 5); expanded treatments of manifolds with boundary, local compactness, group actions, and proper maps; and a new section on paracompactness. This text is designed to be used for an introductory graduate course on the geometry and topology of manifolds.  It should be accessible to any student who has completed a solid undergraduate degree in mathematics.  The author’s book Introduction to Smooth Manifolds is meant to act as a sequel to this book.
650		0	_aMathematics.
650		0	_aAlgebraic topology.
650		0	_aCell aggregation _xMathematics.
650	1	4	_aMathematics.
650	2	4	_aManifolds and Cell Complexes (incl. Diff.Topology).
650	2	4	_aAlgebraic Topology.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781441979391
830		0	_aGraduate Texts in Mathematics, _x0072-5285 ; _v202
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4419-7940-7
912			_aZDB-2-SMA
999			_c105894 _d105894