Vol. 111, No. 1, 1984

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On Ginsburg-Isbell derivatives and ranks of metric spaces

Aarno Hohti

Vol. 111 (1984), No. 1, 39–48
Abstract

The paper deals with the following problem: given a metric space, is there a countable ordinal α such that the α-th successive Ginsburg-Isbell derivative of the metric uniformity contains every open cover of the space? In addition to other results we show that a separable metric space has the above property if and only if it is complete and σ-compact.

Mathematical Subject Classification 2000
Primary: 54E50
Secondary: 54E15, 54E45
Milestones
Received: 20 January 1982
Revised: 5 April 1983
Published: 1 March 1984
Authors
Aarno Hohti