| Title:
|
On a characterization of normal and countably paracompact spaces via set-avoiding selections (English) |
| Author:
|
Barov, Stoyu |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
2008 |
| Pages:
|
45-52 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a characterization of normal and countably paracompact spaces via continuous set-avoiding selections. (English) |
| Keyword:
|
normal and countably paracompact |
| Keyword:
|
set-avoiding selections |
| MSC:
|
54C60 |
| MSC:
|
54C65 |
| idZBL:
|
Zbl 1212.54065 |
| idMR:
|
MR2432819 |
| . |
| Date available:
|
2009-05-05T17:06:21Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119700 |
| . |
| Reference:
|
[1] Alexandroff P., Pasynkov B.A.: Introduction to Dimension Theory (Russian).Nauka, Moscow, 1973. |
| Reference:
|
[2] Barov S., Dijkstra J.J.: On boundary avoiding selections and some extension theorems.Pacific J. Math. 203 1 (2002), 79-87. Zbl 1059.54020, MR 1895926, 10.2140/pjm.2002.203.79 |
| Reference:
|
[3] Barov S., Dijkstra J.J.: On closed sets with convex projections under narrow sets of directions.Trans. Amer. Math. Soc., to appear. Zbl 1156.52002, MR 2434297 |
| Reference:
|
[4] Dowker C.H.: On countably paracompact spaces.Canad. J. Math. 3 (1951), 219-224. Zbl 0042.41007, MR 0043446, 10.4153/CJM-1951-026-2 |
| Reference:
|
[5] Engelking R.: General Topology.translated from Polish by the author, 2nd ed., Sigma Series in Pure Mathematics 6, Heldermann Verlag, Berlin, 1989. Zbl 0684.54001, MR 1039321 |
| Reference:
|
[6] Katětov M.: On real valued functions in topological spaces.Fund. Math. 38 (1951), 85-91. MR 0050264 |
| Reference:
|
[7] Michael E.: Continuous selections I.Ann. of Math. (2) 63 (1956), 361-382. Zbl 0071.15902, MR 0077107, 10.2307/1969615 |
| Reference:
|
[8] van Mill J.: The infinite dimensional topology of function spaces.North-Holland Mathematical Library, 64, Elsevier Science B.V., Amsterdam, 2001. Zbl 0969.54003, MR 1851014 |
| . |
