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
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