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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  and
Franklin D. Tall
Paul Larson
Affiliation:
Department of Mathematics, Miami University, Oxford, OH 45056 USA e-mail: [email protected]
Franklin D. Tall
Affiliation:
Department of Mathematics, University of Toronto, Toronto, ON M5S 2E4 e-mail: [email protected]
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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.

Keywords

54D3554D1554D2054D4503E6503E35locally compacthereditarily normalparacompactAxiom RPFA++
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 57 , Issue 3 , 01 September 2014 , pp. 579 - 584
Copyright
Copyright © Canadian Mathematical Society 2014

References

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