| Title:
|
On some fan-tightness type properties (English) |
| Author:
|
Valuyeva, J. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
2 |
| Year:
|
1998 |
| Pages:
|
415-421 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Properties similar to countable fan-tightness are introduced and compared to countable tightness and countable fan-tightness. These properties are also investigated with respect to function spaces and certain classes of continuous mappings. (English) |
| Keyword:
|
$\omega $-cover |
| Keyword:
|
$vet^*(X)$ |
| Keyword:
|
tightness |
| Keyword:
|
fan-tightness |
| Keyword:
|
biquotient mapping |
| Keyword:
|
$C_p(X)$ |
| MSC:
|
54A25 |
| MSC:
|
54C35 |
| idZBL:
|
Zbl 0938.54006 |
| idMR:
|
MR1651995 |
| . |
| Date available:
|
2009-01-08T18:41:35Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119018 |
| . |
| Reference:
|
[1] Arhangelskii A.: Hurewicz spaces, analytic sets and fan tightness of function spaces.Soviet Math. Doklady 33 (1986), 396-399. MR 0119188 |
| Reference:
|
[2] Arhangelskii A.: Topological Function Spaces.Kluwer Academic Publishers Group, Dortrecht (1992). MR 1144519 |
| Reference:
|
[3] Arhangelskii A., Bella A.: Countable tightness versus countable fan-tightness.Comment. Math. Univ. Carolinae 37.3 (1996), 565-576. MR 1426921 |
| Reference:
|
[4] Engelking R.: General Topology.Heldermann Verlag, Berlin (1989). Zbl 0684.54001, MR 1039321 |
| Reference:
|
[5] Sakai M.: Property $C''$ and function spaces.Proc. Amer. Math. Soc. 104 (1988), 917-919. Zbl 0691.54007, MR 0964873 |
| Reference:
|
[6] Uspenskii V.V.: Frequency spectrum of functional spaces.Moscow Univ. Math. Bulletin 37 (1) (1982), 40-45. |
| . |
