Algebraic Topology: An Introduction |
Contents
CHAPTER ONE TwoDimensional Manifolds | 1 |
Definition and examples of nmanifolds | 2 |
Orientable vs nonorientable manifolds | 3 |
Copyright | |
51 other sections not shown
Other editions - View all
Common terms and phrases
arcwise connected assume automorphism base point bordered surface boundary Chapter Choose circle closed path compact surface component connected sum consider contained continuous map Corollary coset countable CW-complex defined definition deformation retract denote disc disjoint edge path element elementary neighborhood epimorphism equivalence class Euclidean Euler characteristic example Exercise exists a unique Figure finite number free abelian group free group free product fundamental group G₁ group G Hausdorff space Hence homeomorphic homology homotopy type inclusion map initial point integer isomorphic Lemma Let F Let G M₁ manifold map f maximal tree noncompact nonorientable normal subgroup notation open sets orientable p₁ pairs path class polygon projective plane proof Proposition prove quotient group quotient space quotient topology reader regular covering space Section Seifert-Van Kampen theorem simply connected subspace terminal point Theorem 5.1 theory topological space torus triangulation v₁ vertex vertices x₁