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Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study
Kundu, S.
Garg, Pratibha
2007
Abstract
The main goal of this paper is to study the countability
properties, such as the countable chain condition, Lindeöf property
and second countability of the pseudocompact-open topology
on C(X), the set of all continuous real-valued functions on a Tychonoff
space X. But in order to make this study fruitful, these
countability properties of the pseudocompact-open topology are
compared with those of the point-open and compact-open topologies
on C(X).
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (2007)
Publisher
EUT Edizioni Università di Trieste
Source
S. Kundu, Pratibha Garg, "Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 39 (2007), pp. 421–444.
Languages
en
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