Are initially $ω_1$ -compact separable regular spaces compact?
Fundamenta Mathematicae, Tome 154 (1997) no. 2, pp. 123-132.

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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.
DOI : 10.4064/fm-154-2-123-132

Alan Dow 1 ; Istvan Juhász 1

1
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Alan Dow; Istvan  Juhász. Are initially $ω_1$ -compact separable regular spaces compact?. Fundamenta Mathematicae, Tome 154 (1997) no. 2, pp. 123-132. doi : 10.4064/fm-154-2-123-132. http://geodesic.mathdoc.fr/articles/10.4064/fm-154-2-123-132/

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