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Filters and pathwise connectification
Costantini, Camillo
Fedeli, Alessandro
Le Donne, Attilio
2000
Abstract
Let p be a free open-filter on a Hausdorff space X. In this paper we investigate when $X \cup {p}$ can be densely embedded in a pathwise connected $T_2$-space. The main part of the paper is devoted to the cases where X is the rational or the real line.
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
32 (2000)
Publisher
Università degli Studi di Trieste. Dipartimento di Scienze Matematiche
Source
C. Costantini, A. Fedeli and A. Le Donne, "Filters and pathwise connectification", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 32 (2000), pp. 173-187.
Languages
en
File(s)