Geodesic
Almost closed sets and topologies they determine
Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 395-405

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We prove that every countably compact AP-space is Fréchet-Urysohn. It is also established that if $X$ is a paracompact space and $C_p(X)$ is AP, then $X$ is a Hurewicz space. We show that every scattered space is WAP and give an example of a hereditarily WAP-space which is not an AP-space.
Classification : 54A25, 54D20, 54D55, 54G12
Keywords: AP-space; WAP-space; scattered space; countably compact space; function space; discretely generated space 
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Tkachuk, V. V.; Yaschenko, I. V. Almost closed sets and topologies they determine. Commentationes Mathematicae Universitatis Carolinae, Tome 42 (2001) no. 2, pp. 395-405. http://geodesic.mathdoc.fr/item/CMUC_2001__42_2_a16/