| Title:
|
H-closed functions (English) |
| Author:
|
Cammaroto, Filippo |
| Author:
|
Fedorcuk, Vitaly V. |
| Author:
|
Porter, Jack R. |
| Language:
|
English |
| Journal:
|
Commentationes Mathematicae Universitatis Carolinae |
| ISSN:
|
0010-2628 (print) |
| ISSN:
|
1213-7243 (online) |
| Volume:
|
39 |
| Issue:
|
3 |
| Year:
|
1998 |
| Pages:
|
563-572 |
| . |
| Category:
|
math |
| . |
| Summary:
|
The notion of a Hausdorff function is generalized to the concept of H-closed function and the concept of an H-closed extension of a Hausdorff function is developed. Each Hausdorff function is shown to have an H-closed extension. (English) |
| Keyword:
|
H-closed |
| Keyword:
|
Hausdorff functions |
| MSC:
|
54C10 |
| MSC:
|
54C20 |
| MSC:
|
54D25 |
| idZBL:
|
Zbl 0962.54011 |
| idMR:
|
MR1666782 |
| . |
| Date available:
|
2009-01-08T18:46:22Z |
| Last updated:
|
2012-04-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/119033 |
| . |
| Reference:
|
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| Reference:
|
[BM] Blaszczyk A., Mioduszewski J.: On factorization of maps through $\tau X$.Colloq. Math. 23 (1971), 45-52. Zbl 0222.54032, MR 0305331 |
| Reference:
|
[CN] Cammaroto F., Nordo G.: On Urysohn, almost regular and semiregular functions.Filomat (Ni ̆s) 8 (1994), 71-80. Zbl 0822.54007, MR 1342185 |
| Reference:
|
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| Reference:
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[DP] Dow A., Porter J.: Cardinalities of H-closed spaces Topology Proceedings.7 (1982), 27-50. MR 0696618 |
| Reference:
|
[E] Engelking R.: General Topology.Warsaw, 1977. Zbl 0684.54001, MR 0500780 |
| Reference:
|
[F] Friedler L.: Absolutely closed maps.Proc. Amer. Math. Soc. 51 (1975), 186-190. MR 0367898 |
| Reference:
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| Reference:
|
[PS] Ponomarev V.I., Shapiro L.B.: Absolutes of topological spaces and their continuous maps.Uspekhi Mat. Nauk 31 (1976), 121-136; Russian Math. Surveys 31 (1976), 138-154. Zbl 0355.54029, MR 0451216 |
| Reference:
|
[PW] Porter J.R., Woods R.G.: Extensions and Absolutes of Hausdorff Spaces.Springer-Verlag, Berlin, 1988. Zbl 0652.54016, MR 0918341 |
| Reference:
|
[S] Shapiro L.B.: On absolutes of topological spaces and continuous maps.Dokl. Akad. Nauk SSSR 226 (1976), 523-526; Soviet Math. Dokl. 17 (1976), 147-151. MR 0405377 |
| Reference:
|
[U] Ul'yanov V.M.: On compactifications satisfying the first axiom of countability and absolutes.Math. Sb. 98 (1975), 223-254; Math. USSR Sbornik 27 (1975), 199-226. |
| Reference:
|
[V] Viglino G.: Extensions of functions and spaces.Trans. Amer. Math. Soc. 179 (1973), 61-69. Zbl 0272.54012, MR 0322785 |
| . |
