| Title:
|
On weakly bisequential spaces (English) |
| Author:
|
Liu, Chuan |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
41 |
| Issue:
|
3 |
| Year:
|
2000 |
| Pages:
|
611-617 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Weakly bisequential spaces were introduced by A.V. Arhangel'skii [1], in this paper. We discuss the relations between weakly bisequential spaces and metric spaces, countably bisequential spaces, Fréchet-Urysohn spaces. (English) |
| Keyword:
|
bisequential spaces |
| Keyword:
|
filter base |
| Keyword:
|
s-map |
| MSC:
|
54A25 |
| MSC:
|
54D55 |
| MSC:
|
54E35 |
| MSC:
|
54E99 |
| idZBL:
|
Zbl 1038.54004 |
| idMR:
|
MR1795090 |
| . |
| Date available:
|
2009-01-08T19:05:40Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119194 |
| . |
| Reference:
|
[1] Arhangel'skii A.V.: Bisequential spaces, tightness of products, and metrizability conditions in topological groups.Trans. Moscow Math. Soc. 55 (1994), 207-219. MR 1468459 |
| Reference:
|
[2] Arhangel'skii A.V.: The frequency spectrum of a topological space and the product operation.Trans. Moscow Math. Soc. 40 (1981), 163-200. |
| Reference:
|
[3] Gruenhage G., Michael E., Tanaka Y.: Spaces determined by point-countable covers.Pacific J. Math. 113 (1984), 303-332. Zbl 0561.54016, MR 0749538 |
| Reference:
|
[4] Foged L.: A characterization of closed images of metric spaces.Proc. Amer. Math. Soc. 95 (1985), 487-490. Zbl 0592.54027, MR 0806093 |
| Reference:
|
[5] Junnila H.J.K., Yun Z.: $\aleph$-spaces and spaces with $\sigma$-hereditarily closure-preserving k-network.Topology Appl. 30 (1990), 209-215. MR 1173260 |
| Reference:
|
[6] Lin S.: Mapping theorems on $\aleph$-spaces.Topology Appl. 30 (1988), 159-164. Zbl 0663.54017, MR 0967752 |
| Reference:
|
[7] Michael E.A.: A quintuple quotient quest.Topology Appl. 2 (1972), 91-138. Zbl 0238.54009, MR 0309045 |
| Reference:
|
[8] Simon P.: A compact Fréchet space whose square is not Fréchet.Comment. Math. Univ. Carolinae 21 (1980), 749-753. Zbl 0466.54022, MR 0597764 |
| Reference:
|
[9] Sirois-Dumais R.: Quasi- and weakly-quasi-first-countable space.Topology Appl. 11 (1980), 223-230. MR 0572376 |
| . |
