Monotonically countably paracompact, collectionwise Hausdorff spaces and measurable cardinals

Authors:
Chris Good and Robin W. Knight

Journal:
Proc. Amer. Math. Soc. **134** (2006), 591-597

MSC (2000):
Primary 54C10, 54D15, 54D20, 54E20, 54E30

Published electronically:
June 14, 2005

MathSciNet review:
2176028

Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that, if an MCP (monotonically countably paracompact) space fails to be collectionwise Hausdorff, then there is a measurable cardinal and that, if there are two measurable cardinals, then there is an MCP space that fails to be collectionwise Hausdorff.

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Additional Information

**Chris Good**

Affiliation:
School of Mathematics and Statistics, University of Birmingham, Birmingham B15 2TT, United Kingdom

Email:
c.good@bham.ac.uk

**Robin W. Knight**

Affiliation:
Mathematical Institute, University of Oxford, 24-29 St Giles’, Oxford OX1 3LB, United Kingdom

Email:
knight@maths.ox.ac.uk

DOI:
https://doi.org/10.1090/S0002-9939-05-07965-7

Keywords:
Monotone countable paracompactness,
MCP,
collectionwise Hausdorff,
measurable cardinals

Received by editor(s):
July 30, 2003

Received by editor(s) in revised form:
September 9, 2004

Published electronically:
June 14, 2005

Communicated by:
Alan Dow

Article copyright:
© Copyright 2005
American Mathematical Society

The copyright for this article reverts to public domain 28 years after publication.