Topology Proceedings 30 No. 1 (2006), pp. 367-378

Theta-Covers of Hausdorff Spaces

Vrunda Prabhu

In this article, we partially order qCOV(X) and obtain the following results. (1) If (Y, f) is a q-cover of X, then so is (Y(s), f) and (Y, f) ≥ (Y(s), f). (2) Every semiregular q-cover of X is a subspace of rX. (3) Every semiregular Hausdorff extension of a q-cover of X is contained in rX. (4) Every minimal Hausdorff extension of a q-cover of X is contained in rX.

Keywords: covers, extensions, H-closed

Mathematics Subject Classification: 54A20 54A10 (26A03)

Document formats: PDF file 190.8 Kb

Topology Proceedings, Volume 30, No. 1 (2006)
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