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arxiv: 1607.04368 · v1 · pith:7EHJVRLUnew · submitted 2016-07-15 · 🧮 math.LO

PFA(S)[S] and countably compact spaces

classification 🧮 math.LO
keywords compactcountablyspacesassertionscardinalsconcerningconsistencyevery
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We show a number of undecidable assertions concerning countably compact spaces hold under PFA(S)[S]. We also show the consistency without large cardinals of "every locally compact, perfectly normal space is paracompact".

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