Metrizability in Generalized Ordered Spaces |
Contents
SYMBOLS AND NOTATIONS | 3 |
METRIZABILITY IN GOspaces | 47 |
ditarily Lindelöf property | 76 |
1 other sections not shown
Common terms and phrases
Baire space C-space choose Clearly closed subset cofinal coinitial collectionwise normal compact consisting of convex continuous mapping convex open neighbourhood convex sets convex subset convexity-component under f COROLLARY countable chain condition countable local base denote dense subset exists a convex finite following properties Furthermore GO-space GO-topology Hence hereditarily Lindelöf hereditarily paracompact LOTS homeomorphic integer isolated points left endpoint left neighbour lemma Let f lexicographic product lexicographically ordered lexicographically ordered product limit ordinal Lindelöf space linearly ordered set LOTS's metric space Moreover mutually disjoint non-isolated o-discrete family o-l-discrete open base open cover open intervals open sets open subsets order-topology ordinal number perfectly normal possesses neighbourpoints PROOF pseudo-gap relatively discrete subset right endpoint Sorgenfrey-line St(x subspace suppose THEOREM topological space w₁ α α α ας μ α