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Displaying similar documents to “A hedgehog in a product”

The sequentiality and the Fréchet-Urysohn property with respect to ultrafilters

Viacheslav I. Malykhin (1990)

Acta Universitatis Carolinae. Mathematica et Physica

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A compact Fréchet space whose square is not Fréchet

Petr Simon (1980)

Commentationes Mathematicae Universitatis Carolinae

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A note on products of Fréchet spaces

Josef Novák (1997)

Czechoslovak Mathematical Journal

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Almost closed sets and topologies they determine

Vladimir Vladimirovich Tkachuk, Ivan V. Yashchenko (2001)

Commentationes Mathematicae Universitatis Carolinae

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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.