Vol. 68, No. 1, 1977

Download this article
Download this article. For screen
For printing
Recent Issues
Vol. 325: 1
Vol. 324: 1  2
Vol. 323: 1  2
Vol. 322: 1  2
Vol. 321: 1  2
Vol. 320: 1  2
Vol. 319: 1  2
Vol. 318: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Subscriptions
Editorial Board
Officers
Contacts
 
Submission Guidelines
Submission Form
Policies for Authors
 
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Special Issues
Author Index
To Appear
 
Other MSP Journals
On closedness of C- and Cāˆ—-embeddings

Yoshio Tanaka

Vol. 68 (1977), No. 1, 283–292
Abstract

In view of weak topology, this paper studies the conditions for C-and C-embedded subsets of k-spaces to be closed. For example, we have the following: A C-embedded subset S is closed in a space X, if S is paracompact and X is a k-space. A C-embedded subset S is closed in a space X, if (1) X is a k-space in which every point is a Gδ-set; (2) S is normal, or an Fσ-set of X, and X is a sequential space; or (3) S is subparacompact, or an Fσ-set of X, and X is a k-space which is hereditarily normal, or hereditarily countably paracompact.

Mathematical Subject Classification 2000
Primary: 54D50
Milestones
Received: 2 April 1976
Revised: 15 June 1976
Published: 1 January 1977
Authors
Yoshio Tanaka