A compact F-space not co-absolute with βN−N

A COMPACT F-SPACE NOT CO-ABSOLUTE WITH PN-fV

It will be convenient to call a space X a ParoviZenko space if (cy) X is a zero-dimensional compact space without isolated points, (p) every two disjoint open F,-sets have disjoint closures, and (y) every nonempty GG-set in X has non-empty interior. Compact spaces satisfying (p) are usually called F-spaces, while spaces satisfying (y) are called almost-P spaces. Examples of F-spaces are the ext...

A compact F -space with noncoinciding dimensions

MSC: 54G05 54F45 54D35

A not on modular hyperconvex space

A countably compact , separable space which is not absolutely countably compact Jerry

We construct a space havfng the properties in the title, and with the same technique, a countably compact T2 topological group which is not absolutely countably compact.

On the product of a compact space with an hereditarily absolutely countably compact space

We show that the product of a compact, sequential T2 space with an hereditarily absolutely countably compact T3 space is hereditarily absolutely countably compact, and further that the product of a compact T2 space of countable tightness with an hereditarily absolutely countably compact ω-bounded T3 space is hereditarily absolutely countably compact.