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Some Classes of θ-Compactness

Published online by Cambridge University Press:  20 November 2018

S. Broverman
S. Broverman*
Affiliation:
University of Toronto, Toronto, Ontario, CanadaM5S 1A1
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Abstract

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Let A and A denote the classes of ordinal spaces with the order topology and Σ-product spaces of the two point discrete space respectively. Characterizations are given in terms of ultrafiIters of clopen sets of those O-dimensional Hausdorff topological spaces that can be embedded homeomorphically as a closed subspace of a topological product of either spaces from the class Λ or the class Δ. Both classes consist of spaces that are ω0-bounded. An example is given of a O-dimensional Hausdorff ω0-bounded space that cannot be homeomorphically embedded as a closed subset of a product of spaces from either Λ or Δ, answering a question of R. G. Woods.

Keywords

54D3054B1054A25
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 29 , Issue 1 , 01 March 1986 , pp. 54 - 59
Copyright
Copyright © Canadian Mathematical Society 1986

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