A family of countably compact $P\sb{\ast}$-hypergroups

Countably I-compact Spaces

We introduce the class of countably I-compact spaces as a proper subclass of countably S-closed spaces. A topological space (X,T) is called countably I-compact if every countable cover of X by regular closed subsets contains a finite subfamily whose interiors cover X. It is shown that a space is countably I-compact if and only if it is extremally disconnected and countably S-closed. Other chara...

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.

P-Amenable Locally Compact Hypergroups

Arveson Spectrum On Locally Compact Hypergroups

In this paper we study the concept of Arveson spectrum on locally compact hypergroups and for an important class of compact countable hypergroups . In thiis paper we study the concept of Arveson spectrum on locally compact hypergroups and develop its basic properties for an important class of compact countable hypergroups .

A Homogeneous Extremally Disconnected Countably Compact Space

It is well known that no infinite homogeneous space is both compact and extremally disconnected. (Since there are infinite compact homogeneous spaces and infinite extremally disconnected homogeneous spaces, it is the combination of compactness and extremal disconnectedness that brings about this result.) The following question then arises naturally: How “close to compact” can a homogeneous, ext...