代数拓扑(天元基金影印系列丛书)清华大学出版社有限公司, 2005 - 556 pages |
Table des matières
The Fundamental Group 21 22 | 21 |
Additional Topics | 83 |
Homology | 97 |
Additional Topics | 166 |
Cohomology | 185 |
Homotopy Theory | 337 |
Additional Topics | 421 |
Appendix | 519 |
Bibliography | 533 |
Expressions et termes fréquents
A-complex abelian groups algebra attaching B₁ basepoint boundary maps cell chain complex chain map circles cochain cohomology commutative diagram compact composition construction covering space cross product cup product CW complex CW structure defined definition deformation retracts dimension disjoint edges element example fiber bundle fibration finite formula functor fundamental group graph group G H-space H₁ H₂ hence homology groups homology theory homomorphism homotopy classes homotopy equivalence homotopy type Hopf identity implies inclusion induces an isomorphism injective isomorphism Lemma lift long exact sequence loop mapping cylinder multiplication n-cells neighborhood nontrivial nonzero obtained orientable path path-connected polynomial Proof Proposition quotient map restriction ring short exact sequence simplicial simply-connected singular SO(n subcomplex subgroup subspace summand surjective suspension theorem topology torus trivial union universal cover v₁ vector vertex vertices wedge sum X₁ Z₂ zero π₁