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Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics >
Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007) >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10077/4124
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| Title: | Countability Properties of the Pseudocompact-Open Topology on C (X ): A Comparative Study |
| Authors: | Kundu, S.
Garg, Pratibha |
| Keywords: | Function Space
Separability
the Countable Chain Condition
Lindelöf
Cosmic Space
Second Countable
$\aleph_0-Space$
$\aleph_0-Bounded$ |
| Issue Date: | 2007 |
| Publisher: | EUT Edizioni Università di Trieste |
| Citation: | 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. |
| Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
39 (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). |
| URI: | http://hdl.handle.net/10077/4124 |
| ISSN: | 0049-4704 |
| MS Classification: | 54C35
54D20
54D99
54E20 |
| Appears in Collections: | Rendiconti dell' Istituto di matematica dell‘ Università di Trieste: an International Journal of Mathematics vol.39 (2007)
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