Vol. 57, No. 1, 1975

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 331: 1
Vol. 330: 1  2
Vol. 329: 1  2
Vol. 328: 1  2
Vol. 327: 1  2
Vol. 326: 1  2
Vol. 325: 1  2
Vol. 324: 1  2
Online Archive
Volume:
Issue:
     
The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
Officers
 
Subscriptions
 
ISSN 1945-5844 (electronic)
ISSN 0030-8730 (print)
 
Special Issues
Author index
To appear
 
Other MSP journals
Countable products of generalized countably compact spaces

Virgil Dwight House, Jr.

Vol. 57 (1975), No. 1, 183–197
Abstract

In this paper two ways of generalizing compactness are studied. We may consider various types of refinements of open covers, such as countable open refinements, locally finite open refinements, etc. In another direction, countably compact spaces may be characterized as having the property that any sequence has a cluster point. Spaces which require that certain sequences have cluster points, such as Σ-spaces, wΔ-spaces, and q-spaces, will be referred to as generalized countably compact spaces.

Mathematical Subject Classification 2000
Primary: 54D20
Milestones
Received: 5 April 1973
Published: 1 March 1975
Authors
Virgil Dwight House, Jr.