You are not currently logged in.
Access JSTOR through your library or other institution:
If You Use a Screen ReaderThis content is available through Read Online (Free) program, which relies on page scans. Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
If all Normal Moore Spaces are Metrizable, then there is an Inner Model with a Measurable Cardinal
William G. Fleissner
Transactions of the American Mathematical Society
Vol. 273, No. 1 (Sep., 1982), pp. 365-373
Published by: American Mathematical Society
Stable URL: http://www.jstor.org/stable/1999211
Page Count: 9
Since scans are not currently available to screen readers, please contact JSTOR User Support for access. We'll provide a PDF copy for your screen reader.
Preview not available
We formulate an axiom, HYP, and from it construct a normal, metacompact, nonmetrizable Moore space. HYP unifies two better known axioms. The Continuum Hypothesis implies HYP; the nonexistence of an inner model with a measurable cardinal implies HYP. As a consequence, it is impossible to replace Nyikos' ``provisional'' solution to the normal Moore space problem with a solution not involving large cardinals. Finally, we discuss how this space continues a process of lowering the character for normal, not collectionwise normal spaces.
Transactions of the American Mathematical Society © 1982 American Mathematical Society