"Algunas propiedades del ejemplo de Tychonoff de un espacio regular que no es completamente regular"

Autores: José Luis Blasco Olcina , Manuel López Pellicer
Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 25, Fasc. 3, 1974, págs. 213-222
Idioma: español
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Resumen
- Here we give a proof of the Tychonoff's example of a regular space, R, which is not completely regular. The ideas used in this demostration have allowed us to obtain negative results of C*-embed-ding (theorem 2) and to find a subspace of R,R*, whose Alexandroff's compactification, R*, has the propriety that C(R) = C(R*) (theorem 3). This theorem has permited us to characterize the pairs of points and closed sets that are not completely separated in the regular space R (corollary 2-3)