Title of article
A subspace of R3 for which Cmp ≠ def
Author/Authors
Levin، نويسنده , , Michael and Segal، نويسنده , , Jack، نويسنده ,
Issue Information
دوماهنامه با شماره پیاپی سال 1999
Pages
4
From page
165
To page
168
Abstract
We construct a separable metric space E in R3 for which both the small and large compactness degrees cmp E=Cmp E=1 and the compactness deficiency def E=2. This improves on the example in R4 given by R. Pol (1992) as a counterexample to the well-known conjecture of J. de Groot.
Keywords
Compactness degree , De Grootיs conjecture , Compactness deficiency
Journal title
Topology and its Applications
Serial Year
1999
Journal title
Topology and its Applications
Record number
1579425
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