| Title:
|
Generalized linearly ordered spaces and weak pseudocompactness (English) |
| Author:
|
Okunev, O. |
| Author:
|
Tamariz-Mascarúa, A. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
38 |
| Issue:
|
4 |
| Year:
|
1997 |
| Pages:
|
775-790 |
| . |
| Category:
|
math |
| . |
| Summary:
|
A space $X$ is {\it truly weakly pseudocompact} if $X$ is either weakly pseudocompact or Lindelöf locally compact. We prove that if $X$ is a generalized linearly ordered space, and either (i) each proper open interval in $X$ is truly weakly pseudocompact, or (ii) $X$ is paracompact and each point of $X$ has a truly weakly pseudocompact neighborhood, then $X$ is truly weakly pseudocompact. We also answer a question about weakly pseudocompact spaces posed by F. Eckertson in [Eck]. (English) |
| Keyword:
|
weakly pseudocompact spaces |
| Keyword:
|
GLOTS |
| Keyword:
|
compactifications |
| MSC:
|
54D35 |
| MSC:
|
54F05 |
| idZBL:
|
Zbl 0937.54021 |
| idMR:
|
MR1603718 |
| . |
| Date available:
|
2009-01-08T18:37:53Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/118972 |
| . |
| Reference:
|
[Eck] Eckertson F.: Sums, products and mappings of weakly pseudocompact spaces.Topol. Appl. 72 (1996), 149-157. Zbl 0857.54022, MR 1404273 |
| Reference:
|
[Eng] Engelking R.: General Topology.Heldermann Verlag, Berlin, 1989. Zbl 0684.54001, MR 1039321 |
| Reference:
|
[GG] García-Ferreira S., García-Máynez A.S.: On weakly pseudocompact spaces.Houston J. Math. 20 (1994), 145-159. MR 1272568 |
| Reference:
|
[EO] Eckertson F., Ohta H.: Weak pseudocompactness and zero sets in pseudocompact spaces.manuscript. Zbl 0876.54013 |
| . |
