Perfect compactifications of functions
Nordo, Giorgio ; Pasynkov, Boris A.
Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000), p. 619-629 / Harvested from Czech Digital Mathematics Library
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We prove that the maximal Hausdorff compactification $\chi f$ of a $T_2$-compactifi\-able mapping $f$ and the maximal Tychonoff compactification $\beta f$ of a Tychonoff mapping $f$ (see [P]) are perfect. This allows us to give a characterization of all perfect Hausdorff (respectively, all perfect Tychonoff) compactifications of a $T_2$-compactifiable (respectively, of a Tychonoff) mapping, which is a generalization of two results of Skljarenko [S] for the Hausdorff compactifications of Tychonoff spaces.

Publié le : 2000-01-01
Classification:  54C05,  54C10,  54C20,  54C25,  54D15,  54D30,  54D35 
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     author = {Giorgio Nordo and Boris A. Pasynkov},
     title = {Perfect compactifications of functions},
     journal = {Commentationes Mathematicae Universitatis Carolinae},
     volume = {41},
     year = {2000},
     pages = {619-629},
     zbl = {1038.54010},
     mrnumber = {1795091},
     language = {en},
     url = {http://dml.mathdoc.fr/item/119195}
}

Nordo, Giorgio; Pasynkov, Boris A. Perfect compactifications of functions. Commentationes Mathematicae Universitatis Carolinae, Tome 41 (2000) pp. 619-629. http://gdmltest.u-ga.fr/item/119195/

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