A Remark about Countable Rectangular Covers Outside the Diagonal

A. P. Kombarov

Moscow University Mathematics Bulletin（2026）

Chair of General Topology and Geometry

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摘要

It is proved that a finally compact p -space is metrizable iff the space X^2∖Δ has a countable rectangular open cover. A similar theorem is valid for separable M -spaces.

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关键词

metrizability,paracompactness,paracompactness outside the diagonal,normality,normality outside the diagonal,final compactness,-space,-space,rectangular covers,Vietoris topology,first axiom of countability

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