A characterization of covering dimension by use of Δ_k(X)

Jeroen Bruijning and Jun-iti Nagata

Vol. 80 (1979), No. 1, 1–8

DOI: 10.2140/pjm.1979.80.1

Abstract

Covering dimension, in the sense of Katětov, of a topological space X is characterized by use of Δ_k(X) which will be defined in the main discussion in terms of cardinalities of finite open covers of X.

Mathematical Subject Classification 2000

Primary: 54F45

Milestones

Received: 3 March 1978

Published: 1 January 1979