Topology; a First CoursePrentice-Hall, 1974 - 413 sayfa For a one or two semester introduction to topology at the senior or first year graduate level. |
İçindekiler
Set Theory and Logic | 3 |
and Continuous Functions | 75 |
Topological Groups | 144 |
Telif Hakkı | |
6 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
A₁ b₁ Baire space basis element belongs bijective box topology C₁ called choose closed sets closure collection compact Hausdorff space compactification components Consider containing continuous functions continuous map Corollary countable basis covering map covering space define definition dictionary order disjoint open sets equation equicontinuous EXAMPLE Exercise exists f is continuous fact Figure function f fundamental group given Hausdorff space Hint homeomorphic homotopy imbedding induced infinite injective intersection interval isomorphism lemma Let f locally compact locally finite loop map f map ƒ neighborhood nonempty one-point sets open covering open sets order relation order topology ordered set paracompact path homotopy plane positive integers product topology proof properties quotient map real line real numbers satisfies sequence Show simply connected simply ordered smallest element subcollection subspace topology Suppose surjective topological space U₁ uncountable union Urysohn V₁ well-ordered set x₁ y₁