H-closed functions
Cammaroto, Filippo ; Fedorcuk, Vitaly V. ; Porter, Jack R.
Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998), p. 563-572 / Harvested from Czech Digital Mathematics Library

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.

Publié le : 1998-01-01
Classification:  54C10,  54C20,  54D25
@article{119033,
     author = {Filippo Cammaroto and Vitaly V. Fedorcuk and Jack R. Porter},
     title = {H-closed functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {39},
     year = {1998},
     pages = {563-572},
     zbl = {0962.54011},
     mrnumber = {1666782},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119033}
}
Cammaroto, Filippo; Fedorcuk, Vitaly V.; Porter, Jack R. H-closed functions. Commentationes Mathematicae Universitatis Carolinae, Tome 39 (1998) pp. 563-572. http://gdmltest.u-ga.fr/item/119033/

Blaszczyk A. On a factorization lemma and a construction of absolutes without separation axioms, Proc. Fourth Prague Topology Symp. 1976, Part B Contributed Papers, General Topology and its Relation to Modern Analysis and Algebra, Soc. Czechoslovak Mathematicians and Physicists, Prague, 1977, pp.45-50. | MR 0478097

Blaszczyk A.; Mioduszewski J. On factorization of maps through $\tau X$, Colloq. Math. 23 (1971), 45-52. (1971) | MR 0305331 | Zbl 0222.54032

Cammaroto F.; Nordo G. On Urysohn, almost regular and semiregular functions, Filomat (Ni ̆s) 8 (1994), 71-80. (1994) | MR 1342185 | Zbl 0822.54007

Dickman R.F., Jr. Regular closed maps, Proc. Amer. Math. Soc. 39 (1973), 414-416. (1973) | MR 0315654 | Zbl 0241.54009

Dow A.; Porter J. Cardinalities of H-closed spaces Topology Proceedings, 7 (1982), 27-50. (1982) | MR 0696618

Engelking R. General Topology, Warsaw, 1977. | MR 0500780 | Zbl 0684.54001

Friedler L. Absolutely closed maps, Proc. Amer. Math. Soc. 51 (1975), 186-190. (1975) | MR 0367898

Hodel R.G. Cardinal function I, in Handbook of Set-theoretical Topology, K. Kunen and J. Vaughan ed., North Holland-Amsterdam, 1984. | MR 0776619

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. (1976) | MR 0451216 | Zbl 0355.54029

Porter J.R.; Woods R.G. Extensions and Absolutes of Hausdorff Spaces, Springer-Verlag, Berlin, 1988. | MR 0918341 | Zbl 0652.54016

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. (1976) | MR 0405377

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. (1975)

Viglino G. Extensions of functions and spaces, Trans. Amer. Math. Soc. 179 (1973), 61-69. (1973) | MR 0322785 | Zbl 0272.54012