Vol. 28, No. 3, 1969

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 294: 1
Vol. 293: 1  2
Vol. 292: 1  2
Vol. 291: 1  2
Vol. 290: 1  2
Vol. 289: 1  2
Vol. 288: 1  2
Vol. 287: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
Author Index
To Appear
 
ISSN: 0030-8730
F-spaces and their product with P-spaces

W. Wistar (William) Comfort, Neil Hindman and Stelios A. Negrepontis

Vol. 28 (1969), No. 3, 489–502
Abstract

The F-spaces studied here, introduced by Leonard Gillman and Melvin Henriksen, are by definition completely regular Hausdorff spaces in which disjoint cozero-sets have disjoint closures. The principal result of this paper gives a sufficient condition that a product space be an F-space and shows that the condition is, in a strong sense, best possible. A fortuitous corollary in the same vein responds to a question posed by Gillman: When is a product space basically disconnected (in the sense that each of its cozero-sets has open closure)?

Mathematical Subject Classification
Primary: 54.20
Milestones
Received: 12 December 1967
Revised: 20 March 1968
Published: 1 March 1969
Authors
W. Wistar (William) Comfort
Neil Hindman
Stelios A. Negrepontis