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A space with normal countable-to-one regular preimages

✍ Scribed by Tim LaBerge

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
345 KB
Volume
91
Category
Article
ISSN
0166-8641

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✦ Synopsis

It is known that a space with every countable-to-one regular preimage normal must be at least < C-cwN. We construct a model of ZFC + CH with a normal space X that has every countable-toone regular preimage normal but is not < c+ -cwH, so that ZFC does not imply stronger separation properties for these spaces. X is also an example of a Moore space that is < NI-paracotnpact but not < Nz-paracompact.

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