On AP and WAP spaces

Angelo Bella; Ivan V. Yashchenko

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

The search session has expired. Please query the service again.

Displaying similar documents to “On AP and WAP spaces”

Almost closed sets and topologies they determine

Vladimir Vladimirovich Tkachuk, Ivan V. Yashchenko (2001)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

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.

A nice class extracted from $C_{p}$ -theory

Vladimir Vladimirovich Tkachuk (2005)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

We study systematically a class of spaces introduced by Sokolov and call them Sokolov spaces. Their importance can be seen from the fact that every Corson compact space is a Sokolov space. We show that every Sokolov space is collectionwise normal, $ω$ -stable and $ω$ -monolithic. It is also established that any Sokolov compact space $X$ is Fréchet-Urysohn and the space $C_{p} (X)$ is Lindelöf. We prove that any Sokolov space with a $G_{δ}$ -diagonal has a countable network and obtain some cardinality restrictions...

Displaying similar documents to “On AP and WAP spaces”

Almost closed sets and topologies they determine

A nice class extracted from C p -theory

A nice class extracted from $C_{p}$ -theory