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On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces

Published online by Cambridge University Press:  20 November 2018

Paul Larson
Affiliation:
Department of Mathematics, Miami University, Oxford, OH 45056 USA e-mail: larsonpb@miamioh.edu
Franklin D. Tall
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4 e-mail: f.tall@utoronto.ca
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Abstract

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We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space that does not include a perfect pre-image of ${{\text{ }\!\!\omega\!\!\text{ }}_{1}}$ is hereditarily paracompact.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2014

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