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ON DENSE EMBEDDINGS INTO MOORE SPACES WITH THE BAIRE PROPERTY

Part of: Connections with other structures, applications Spaces with richer structures

Published online by Cambridge University Press:  29 October 2010

DAVID L. FEARNLEY  and
LAWRENCE FEARNLEY
DAVID L. FEARNLEY*
Affiliation:
Department of Mathematics, Utah Valley University, Orem, UT, USA (email: axiom10@gmail.com)
LAWRENCE FEARNLEY
Affiliation:
Department of Mathematics, Brigham Young University, Provo, UT, USA (email: fearnley@byu.edu)
*
✉For correspondence; e-mail: axiom10@gmail.com
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Abstract

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We demonstrate a construction that will densely embed a Moore space into a Moore space with the Baire property when this is possible. We also show how this technique generates a new ‘if and only if’ condition for determining when Moore spaces can be densely embedded in Moore spaces with the Baire property, and briefly discuss how this condition can can be used to generate new proofs that certain Moore spaces cannot be densely embedded in Moore spaces with the Baire property.

Keywords

Moore spaceBaire

MSC classification

Secondary: 54E30: Moore spaces 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 83 , Issue 1 , February 2011 , pp. 1 - 10
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2010

References

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