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A Collectionwise Hausdorff, Non-Normal Moore Space

Published online by Cambridge University Press:  20 November 2018

Michael L. Wage*
Affiliation:
University of Wisconsin, Madison, Wisconsin
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A topological space X is said to be collectionwise Hausdorff if every discrete collection of points of X can be simultaneously separated by a collection of pairwise disjoint open sets. The question of whether there exists a collectionwise Hausdorff, non-normal Moore space was first asked by R. L. Moore. In 1964, J. M. Worrell announced that such a space did indeed exist (see [7]), but his proof has never appeared in print.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 1976

References

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