Algebraic Topology: An Introduction |
Contents
CHAPTER ONE TwoDimensional Manifolds | 1 |
Definition and examples of nmanifolds | 2 |
Orientable vs nonorientable manifolds | 3 |
Copyright | |
56 other sections not shown
Other editions - View all
Common terms and phrases
abelian group algebraic algebraic topology apply arcwise connected assert assume automorphism base boundary called Chapter Choose circle clear commutative compact complete component condition connected consider consisting construction contained continuous map Corollary corresponding covering space CW-complex cyclic defined definition denote determined diagram disc edge element equivalence class example Exercise exists fact Figure finite free group free product function fundamental group give given graph Hausdorff Hence homeomorphic homotopy identifying induced infinite initial point integer isomorphic Lemma locally manifold method natural neighborhood Note obtained orientable pair path possible presentation problem proof properties Proposition prove quotient space reader relation represented respectively result satisfy simply connected single structure subgroup subset surface Theorem Theorem 5.1 theory topological space topology torus tree triangulation union unique universal vertex vertices