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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 4, Pages 625-630
doi:10.1155/S0161171292000826

Measure-theoretic characterizations of hereditarily-normal spaces

Joseph Hertzlinger

Polytechnic University, USA

Abstract

In this paper we characterize hereditarily-normal spaces in terms of the measure-theoretic properties of the lattice of closed sets. We then generalize from that lattice to other lattices. We apply the results to extremally-disconnected spaces.