LDR 02461nac  22003251u 4500
010    _a9780387979267
090    _a12175
101    _aeng
102    _aDE
100    _a20091130              frey50       
200    _aTopology and geometry
       _fGlen E. Bredon
210    _aBerlin
215    _a1 vol. (XIV-557 p.)
225    _aGraduate texts in mathematics
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
       _tGraduate texts in mathematics
676    _a2010
686    _20
       _bAlgebraic topology
       _xInstructional exposition (textbooks, tutorial papers, etc.)
686    _20
       _bManifolds and cell complexes
       _xInstructional exposition (textbooks, tutorial papers, etc.)
686    _20
       _bGeneral topology
       _xInstructional exposition (textbooks, tutorial papers, etc.)
700    _9171034
       _bGlen Eugene
856    _uhttp://link.springer.com/book/10.1007/978-1-4757-6848-0
856    _uhttp://zbmath.org/?q=an:0791.55001
856    _uhttp://www.ams.org/mathscinet-getitem?mr=1224675
905    _avm
906    _aaw
906    _aaw
995    _f05587-01
       _xachat Dawson
       _k55 BRE
       _eSalle R
001     12175
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