Moderation of sigma-finite Borel measures
We establish that a $\sigma$-finite Borel measure $\mu$ in a Hausdorff topological space $X$ such that each open subset of $X$ is $\mu$-Radon, is moderated when $X$ is weakly metacompact or paralindelöf and also when $X$ is metalindelöf and has a $\mu$-concassage of separable subsets. Moreover, we g...
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| Published in: | Collectanea mathematica (Barcelona) Vol. 48; no. 3; pp. 289 - 296 |
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| Main Author: | |
| Format: | Journal Article |
| Language: | Catalan English |
| Published: |
Universitat de Barcelona
1997
Promociones y Publicaciones Universitarias, PPU |
| Online Access: | Get full text |
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| Summary: | We establish that a $\sigma$-finite Borel measure $\mu$ in a Hausdorff topological space $X$ such that each open subset of $X$ is $\mu$-Radon, is moderated when $X$ is weakly metacompact or paralindelöf and also when $X$ is metalindelöf and has a $\mu$-concassage of separable subsets. Moreover, we give a new proof of a theorem of Pfeffer and Thomson [5] about gage measurability and we deduce other new results. |
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| ISSN: | 0010-0757 2038-4815 |