Applications of Set Theory to Analysis and Topology |
Common terms and phrases
Banach spaces C₁ CH implies choose closed sets closed subset closure collectionwise Hausdorff collectionwise normal compact Hausdorff space compact space construction Corollary countable subset countably metacompact countably paracompact countably paracompact Moore define denote disjoint open sets disjoint sets Dowker space Eberlein compact extremally disconnected finite measure functionally Katětov Hausdorff space hereditarily separable induction J₁ K₁ Lebesgue measure lemma limit ordinal limit point locally finite locally finite cover locally finite open Lusin measure Lusin space Lusin's theorem M. L. Wage Martin's axiom Math metric non-metrizable non-normal Moore space non-normal space normal Moore space normal space open subset paracompact Moore space paracompact space Proof of Theorem regular Riesz measure S₁ separated by disjoint set theory sets and Martin's sets of finite space is countably subspace Suppose T3 space thesis U₁ uncountable V₁ w₁ w₂ α α α β