Electronic Version 19 (1994), 349-354

Yoshikazu Yasui

A topological space X is said to be relatively locally finite, if each point of X has a neighborhood U such that every closed (in X) subset of U is finite.

We shall construct an infinite countably compact Hausdorff space X which is relatively locally finite. This gives the negative answers of A. V. Arhangel'skii and I. Yu. Gordienko. Furthermore we shall give a characterization of relatively local finiteness and the corollaries.

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volume 19: table of contents
topology proceedings Electronic Version