CH and first countable, countably compact spaces
CH, Countably compact, First countable, Forcing, Perfect
Topology and its Applications
We show that it is consistent with the Continuum Hypothesis that first countable, countably compact spaces with no uncountable free sequences are compact. As a consequence, we get that CH does not imply the existence of a perfectly normal, countably compact, non-compact space, answering a question of Nyikos (Question 287 in the numbering of van Mill and Reed, Open Problems in Topology, Elsevier, Amsterdam, 1990, p. 127). © 2001 Elsevier Science B.V. All rights reserved.
Original Publication Date
DOI of published version
Eisworth, Todd, "CH and first countable, countably compact spaces" (2001). Faculty Publications. 3559.