Are initially $ω_1$ -compact separable regular spaces compact?

Volume 154 / 1997

, Fundamenta Mathematicae 154 (1997), 123-132 DOI: 10.4064/fm-154-2-123-132

Abstract

We investigate the question of the title. While it is immediate that CH yields a positive answer we discover that the situation under the negation of CH holds some surprises.

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