Geodesic
Some Classes of θ-Compactness
Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 54-59

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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.
DOI : 10.4153/CMB-1986-010-5
Mots-clés : 54D30, 54B10, 54A25 
Broverman, S. Some Classes of θ-Compactness. Canadian mathematical bulletin, Tome 29 (1986) no. 1, pp. 54-59. doi: 10.4153/CMB-1986-010-5
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     doi = {10.4153/CMB-1986-010-5},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1986-010-5/}
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