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Search: MSC category 03E65 ( Other hypotheses and axioms )

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1. CMB 2014 (vol 57 pp. 579)

Larson, Paul; Tall, Franklin D.
 On the Hereditary Paracompactness of Locally Compact, Hereditarily Normal Spaces We establish that if it is consistent that there is a supercompact cardinal, then it is consistent that every locally compact, hereditarily normal space which does not include a perfect pre-image of $\omega_1$ is hereditarily paracompact. Keywords:locally compact, hereditarily normal, paracompact, Axiom R, PFA$^{++}$Categories:54D35, 54D15, 54D20, 54D45, 03E65, 03E35

2. CMB 2013 (vol 57 pp. 119)

Mildenberger, Heike; Raghavan, Dilip; Steprans, Juris
 Splitting Families and Complete Separability We answer a question from Raghavan and SteprÄns by showing that $\mathfrak{s} = {\mathfrak{s}}_{\omega, \omega}$. Then we use this to construct a completely separable maximal almost disjoint family under $\mathfrak{s} \leq \mathfrak{a}$, partially answering a question of Shelah. Keywords:maximal almost disjoint family, cardinal invariantsCategories:03E05, 03E17, 03E65
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