PFA and $$\omega_1$$ ω 1 -free compact spaces

ACTA MATHEMATICA HUNGARICA（2022）

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摘要

The Proper Forcing Axiom implies that compact Hausdorff spaces are either first-countable or contain a converging $$\omega_1$$ -sequence.

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关键词

PFA , compact, convergence, -sequence, first-countable, primary 54D30, secondary 03E35, 03E50, 03E57, 54A20, 54A35, 54D20

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