Abstract
AbstractWe show that for the Sorgenfrey line S, the minimal dense linearly ordered extension of S is a D-space, but not a monotone D-space; the minimal closed linearly ordered extension of S is not a monotone D-space; the monotone D-property is inversely preserved by finite-to-one closed mappings, but cannot be inversely preserved by perfect mappings.
Publisher
Cambridge University Press (CUP)
Cited by
1 articles.
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1. A NOTE ON PARACOMPACT p-SPACES AND THE MONOTONE D-PROPERTY;Bulletin of the Australian Mathematical Society;2011-02-07