A Provisional Solution to the Normal Moore Space Problem
- 1 March 1980
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 78 (3) , 429-435
- https://doi.org/10.2307/2042338
Abstract
The Product Measure Extension Axiom (PMEA), whose consistency would follow from the existence of a strongly compact cardinal, implies that every normalized collection of sets in a space of character less than the continuum is well separated. Consistency of PMEA would thus solve many well-known problems of general topology, including that of whether every first countable normal space is collectionwise normal, as well as the normal Moore space problem.Keywords
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