On the property (db) for continuous function spaces
It is shown that the space C( X) of all continuous real-valued functions with the compact-open topology has the property (db) iff X is a μ-space and a τα-space. As a consequence C( X) has the property (db) iff C( X) is Baire-like answering a question in the literature. Generalizations to the topolog...
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| Published in: | Topology and its applications Vol. 92; no. 2; pp. 101 - 106 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
Elsevier B.V
1999
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| Subjects: | |
| ISSN: | 0166-8641, 1879-3207 |
| Online Access: | Get full text |
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| Summary: | It is shown that the space
C(
X) of all continuous real-valued functions with the compact-open topology has the property (db) iff
X is a μ-space and a τα-space. As a consequence
C(
X) has the property (db) iff
C(
X) is Baire-like answering a question in the literature. Generalizations to the topology of bounded convergence are given. |
|---|---|
| ISSN: | 0166-8641 1879-3207 |
| DOI: | 10.1016/S0166-8641(97)00235-6 |