| Title:
|
More on strongly sequential spaces (English) |
| Author:
|
Mynard, Frédéric |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
43 |
| Issue:
|
3 |
| Year:
|
2002 |
| Pages:
|
525-530 |
| . |
| Category:
|
math |
| . |
| Summary:
|
Strongly sequential spaces were introduced and studied to solve a problem of Tanaka concerning the product of sequential topologies. In this paper, further properties of strongly sequential spaces are investigated. (English) |
| Keyword:
|
sequential |
| Keyword:
|
strongly sequential |
| Keyword:
|
Fréchet |
| Keyword:
|
Tanaka topology |
| MSC:
|
54A20 |
| MSC:
|
54B10 |
| MSC:
|
54B30 |
| MSC:
|
54D55 |
| idZBL:
|
Zbl 1090.54006 |
| idMR:
|
MR1920528 |
| . |
| Date available:
|
2009-01-08T19:24:45Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119342 |
| . |
| Reference:
|
[1] Dolecki S.: Convergence-theoretic approach to quotient quest.Topology Appl. 73 1-21 (1996). Zbl 0862.54001, MR 1413721 |
| Reference:
|
[2] Dolecki S., Mynard F.: Convergence-theoretic mechanism behind product theorems.Topology Appl. 104 67-99 (2000). MR 1780899 |
| Reference:
|
[3] Dolecki S., Nogura T.: Two-fold theorem on Fréchetness of products.Czech. Math. J. 49 (124) 421-429 (1999). Zbl 0949.54010, MR 1692508 |
| Reference:
|
[4] Dolecki S., Nogura T.: Countably infinite products of sequential topologies.to appear. Zbl 0991.54028, MR 1885785 |
| Reference:
|
[5] Engelking R.: Topology.PWN, 1977. Zbl 0932.01059 |
| Reference:
|
[6] Handbook of Set-theoretic Topology: edited by K. Kunen and J.E. Vaughan, North-Holland Publ., 1984.. MR 0776619 |
| Reference:
|
[7] Michael E.: A quintuple quotient quest.Gen. Topology Appl. 2 91-138 (1972). Zbl 0238.54009, MR 0309045 |
| Reference:
|
[8] Michael E.: Local compactness and cartesian product of quotient maps and $k$-spaces.Ann. Inst. Fourier (Grenoble) 19 281-286 (1968). MR 0244943 |
| Reference:
|
[9] Michael E., Olson R.C., Siwiec D.: $A$-spaces and countably biquotient maps.Dissertationes Math. 133 (1976). |
| Reference:
|
[10] Mynard F.: Strongly sequential spaces.Comment. Math. Univ. Carolinae 41.1 (2000), 143-153. Zbl 1037.54504, MR 1756935 |
| Reference:
|
[11] Mynard F.: Coreflectively modified continuous duality applied to classical product theorems.Applied General Topology 2 (2) (2002), 119-154. MR 1890032 |
| Reference:
|
[12] Tanaka Y.: Products of sequential spaces.Proc. Amer. Math. Soc. 54 371-375 (1976). Zbl 0292.54025, MR 0397665 |
| Reference:
|
[13] Tanaka Y.: Private communication.November 2000. |
| Reference:
|
[14] Tanaka Y.: Private communication.June 2001. |
| . |
