A concise course in algebraic topology/
May,J. Peter
A concise course in algebraic topology/ J. Peter May - New Delhi : University Of Chicago Press, 1999. - ix,243p. : ill. ; 23cm. - Chicago lectures in mathematics. .
1.The fundamental groups and some of its application
2.Categorial language
3.Covering spaces
4.Graphs
5.Compactly generated spaces
6.Cofibrations
7.Fibrations
8.Based cofiber and fiber sequences
9.Higher homotopy groups
10.CW complexes
11.The homotopy excision and suspension theorem
12.A little homological algebra
13.Axiomatic and cellular homology theory
14.Derivation of properties from the axioms
15.The Hurewicz
16.Singular homology theory
17.Some more homological algebra
18.Axiomatic and cellular cohomology theory
19.Derivation of properties from the axioms
20.The Poincare dualitytheorem
21.The index of manifolds
22.Homology,cohomology
23.Characteristic classes of vector bundles
24.An introduction to K-theory
25.An introduction to cobordism
0226511839
Algebraic topology.
514.2 / MAY/C
A concise course in algebraic topology/ J. Peter May - New Delhi : University Of Chicago Press, 1999. - ix,243p. : ill. ; 23cm. - Chicago lectures in mathematics. .
1.The fundamental groups and some of its application
2.Categorial language
3.Covering spaces
4.Graphs
5.Compactly generated spaces
6.Cofibrations
7.Fibrations
8.Based cofiber and fiber sequences
9.Higher homotopy groups
10.CW complexes
11.The homotopy excision and suspension theorem
12.A little homological algebra
13.Axiomatic and cellular homology theory
14.Derivation of properties from the axioms
15.The Hurewicz
16.Singular homology theory
17.Some more homological algebra
18.Axiomatic and cellular cohomology theory
19.Derivation of properties from the axioms
20.The Poincare dualitytheorem
21.The index of manifolds
22.Homology,cohomology
23.Characteristic classes of vector bundles
24.An introduction to K-theory
25.An introduction to cobordism
0226511839
Algebraic topology.
514.2 / MAY/C