LDR 02461nac 22003251u 4500 010 _a9780387979267 _brel. 090 _a12175 101 _aeng 102 _aDE 100 _a20091130 frey50 200 _aTopology and geometry _bM _fGlen E. Bredon 210 _aBerlin _cSpringer _d1993 215 _a1 vol. (XIV-557 p.) _d25 _cill. 225 _aGraduate texts in mathematics _v139 _x0072-5285 _9169059 300 _aThe topics covered include some general topology, smooth manifolds, homology and homotopy groups, duality, cohomology and products. The text is somewhat informal with an occasional offering of two proofs of the same result. Some optional topics are marked with a star, but a good lecturer can use this text to create a fine course at the appropriate level. There are various innovative things, which are accessible but not traditionally covered. An example would be the Hopf maps, or the calculation of some cohomology of compact simple Lie groups. The text does lean towards the topology, and some readers might expect more classical geometry (in the style of Frobenius, or the Gauss-Bonnet theorem). One might also quibble about the order in which certain topics occur. For example, the basic notion of a fibre space is more than 150 pages past de Rham's theorem. Thom transversality is more than 100 pages before singular homology. Nevertheless, with a little guidance, a beginning graduate student can use this text to learn a great deal of mathematics. (MathSciNet) 320 _aBibliogr. p. 541-543. Index 410 _9168282 _aSpringer _tGraduate texts in mathematics _v0139 _x0072-5285 676 _a2010 686 _20 _9165066 _a55-01 _bAlgebraic topology _xInstructional exposition (textbooks, tutorial papers, etc.) 686 _20 _9165190 _a57-01 _bManifolds and cell complexes _xInstructional exposition (textbooks, tutorial papers, etc.) 686 _20 _9164960 _a54-01 _bGeneral topology _xInstructional exposition (textbooks, tutorial papers, etc.) 700 _9171034 _aBredon _bGlen Eugene _f1932-2000 _4070 856 _uhttp://link.springer.com/book/10.1007/978-1-4757-6848-0 _zSpringerlink 856 _uhttp://zbmath.org/?q=an:0791.55001 _zZentralblatt 856 _uhttp://www.ams.org/mathscinet-getitem?mr=1224675 _zMathSciNet 905 _avm _b2009-03-10 906 _aaw _b2011-12-05 906 _aaw _b2013-01-16 995 _f05587-01 _xachat Dawson _916519 _cCMI _20 _k55 BRE _o0 _eSalle R _z57.00 _bCMI 001 12175