Vol. 69, No. 1, 1977

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Noncompact, minimal regular spaces

Manuel Phillip Berriozabal, Hon-Fei Lai and Dix Hayes Pettey

Vol. 69 (1977), No. 1, 19–23
Abstract

In the first known example of a noncompact, minimal regular space, the standard Tychonoff plank is used in the construction. In the present paper, this construction is generalized by using, instead of the standard Tychonoff plank, a generalized Tychonoff plank which is defined in terms of an arbitrary pair of ordinals. Such a construction yields a noncompact, minimal regular space if and only if both ordinals are limit ordinals and at least one of them is uncountably cofinal.

Mathematical Subject Classification 2000
Primary: 54D15
Milestones
Received: 30 April 1976
Revised: 27 October 1976
Published: 1 March 1977
Authors
Manuel Phillip Berriozabal
Hon-Fei Lai
Dix Hayes Pettey