The Behavior of Orthocompactness in Products, with Emphasis on Certain Analogies with that of Normality Under Similar Circumstances, Or Orthocompact: Metacompact - Normal - Paracompact (a.E.) |
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Page 53
... space ( for a cardinal 1 ) and proved that a normal space is M ( 1 ) -paracompact iff it is a P ( X ) -space . lovely result is marred only by the complexity of the definition of a P ( X ) -space : This Definition 5.0.0 . A space X is a ...
... space ( for a cardinal 1 ) and proved that a normal space is M ( 1 ) -paracompact iff it is a P ( X ) -space . lovely result is marred only by the complexity of the definition of a P ( X ) -space : This Definition 5.0.0 . A space X is a ...
Page 123
... Spaces , preprint . [ Ku3 ] K. Kunen , On normality of box products of ordinals , preprint . [ Mi ] E. Michael , The Product of a Normal Space and a Metric Space need not be Normal , Bull . Amer . Math . Soc . 69 ( 1963 ) , pp . 375-376 ...
... Spaces , preprint . [ Ku3 ] K. Kunen , On normality of box products of ordinals , preprint . [ Mi ] E. Michael , The Product of a Normal Space and a Metric Space need not be Normal , Bull . Amer . Math . Soc . 69 ( 1963 ) , pp . 375-376 ...
Page 124
Brian Maynard Scott. [ Ru2 ] M. E. Rudin , A normal space X for which X x I is not normal , Fund . Math . 73 ( 1971 ) , pp . 179-186 . [ Ru3 ] ] M. E. Rudin , Countable box products of ordinals , preprint . [ Ru ] M. E. Rudin , A Normal ...
Brian Maynard Scott. [ Ru2 ] M. E. Rudin , A normal space X for which X x I is not normal , Fund . Math . 73 ( 1971 ) , pp . 179-186 . [ Ru3 ] ] M. E. Rudin , Countable box products of ordinals , preprint . [ Ru ] M. E. Rudin , A Normal ...
Common terms and phrases
a x ß A-System analogy assume base box products cf(a cf(B cf(k Chapter clearly clopen closed copy closed subset cofinal collectionwise normal compact space construct contains a closed Corollary countably compact countably metacompact CSEP D₂ define Definition discrete union Dowker spaces Example F is s.d. finite guarantees Hausdorff Hausdorff space hereditarily orthocompact homeomorphic infinite products Kunen Lemma Lemma 7.0.6 holds let H Morita's non-Archimedean numbers obviously open cover open nbhd open refinement open sets open subset ord(x ortho orthocompact iff orthocompact space orthocompactness and normality P-type point-finite precisely-indexed products of ordinals Proposition 2.1.4 pseudo-compact Q-collection Q-cover Q-embedded Q-refinement quasi-uniformity regular cardinal resp result follows St(x stationary subset subspace suffices to show Suppose Suslin tree T₁ Theorem uncountable w)-compact w)-metacompact w)-paracompactness w₁ weakly orthocompact X-open α α αελ ε μ ε ω ελ εω