Open Access. Powered by Scholars. Published by Universities.®
Articles 1 - 2 of 2
Full-Text Articles in Mathematics
Coarse Topologies In Nonstandard Extensions Via Separative Ultrafilters, Paul Bankston
Coarse Topologies In Nonstandard Extensions Via Separative Ultrafilters, Paul Bankston
Mathematics, Statistics and Computer Science Faculty Research and Publications
No abstract provided.
Topological Extensions And Subspaces Of Ηα-Sets, Paul Bankston
Topological Extensions And Subspaces Of Ηα-Sets, Paul Bankston
Mathematics, Statistics and Computer Science Faculty Research and Publications
The ηx-sets of Hausdorff have large compactifications (of cardinality ≽ exp(α); and of cardinality ≽ exp(exp(2<α)) in the Stone-Čech case). If Qα denotes the unique (when it exists) ηα -set of cardinality α, then Qα can be decomposed (= partitioned) into homeomorphs of any prescribed nonempty subspace; moreover the subspaces of Qα can be characterized as those which arc regular T1, of cardinality and weight ≼ α, whose topologies are closed under < α intersections.