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Journals and Conferences
Assuming the continuum hypothesis, a normal nonmetrizable Moore space is constructed. This answers a question raised by F. B. Jones in 1931, using an axiom well known at that time. For the construction, a consequence of the continuum hypothesis that also follows from the nonexistence of an inner model with a measurable cardinal is used. Hence, it is shown… (More)
We characterize GO-spaces that are metrizably fibered in terms of certain quotient spaces and in sequences of open covers. Using forcing we produce a model of ZFC + CH (with 2 c arbitrarily large) and, in this model, we obtain a characterization of the Abelian groups G (necessarily of size at most 2 c) which admit: (i) a hereditarily separable group… (More)
We prove that paranormal spaces of character ≤ ω 1 are ω 1-collectionwise Hausdorff assuming the set-theoretic principle ♦ *. This gives an affirmative answer to problem 197 in Problems I wish I could solve, by W.