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A remark on \(\Theta\)-regular spaces. (English) Zbl 0888.54027

Summary: An embedding characterization of \(\theta\)-regularity using the Wallman-type compactification is given. The productivity of \(\theta\)-regularity and a slight generalization of Nagami’s product theorem to non-Hausdorff paracompact \(\Sigma\)-spaces are obtained as a corollary.

MSC:

54D35 Extensions of spaces (compactifications, supercompactifications, completions, etc.)
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
54B10 Product spaces in general topology
54D20 Noncompact covering properties (paracompact, Lindelöf, etc.)
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