Compacity in narrow limit tower spaces
We introduce a limit tower structure on the space of all bounded Radon measures on a completely regular space and we extend the Prohorov's theorem of narrow compactness. In the particular case of Polish spaces, we give a sequential version of this extension.
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2001-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171201005063 |
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| _version_ | 1832556752780918784 |
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| author | Liviu C. Florescu |
| author_facet | Liviu C. Florescu |
| author_sort | Liviu C. Florescu |
| collection | DOAJ |
| description | We introduce a limit tower structure on the space of all bounded Radon measures on a completely regular space and we extend the Prohorov's theorem of narrow compactness. In the particular case of Polish spaces, we give a sequential version of this extension. |
| format | Article |
| id | doaj-art-810ad19014174a52a7d3c0678b45a0e7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2001-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-810ad19014174a52a7d3c0678b45a0e72025-02-03T05:44:28ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-0126635936910.1155/S0161171201005063Compacity in narrow limit tower spacesLiviu C. Florescu0Faculty of Mathematics, University Al. I. Cuza, Carol I, 11, RO-6600, RomaniaWe introduce a limit tower structure on the space of all bounded Radon measures on a completely regular space and we extend the Prohorov's theorem of narrow compactness. In the particular case of Polish spaces, we give a sequential version of this extension.http://dx.doi.org/10.1155/S0161171201005063 |
| spellingShingle | Liviu C. Florescu Compacity in narrow limit tower spaces International Journal of Mathematics and Mathematical Sciences |
| title | Compacity in narrow limit tower spaces |
| title_full | Compacity in narrow limit tower spaces |
| title_fullStr | Compacity in narrow limit tower spaces |
| title_full_unstemmed | Compacity in narrow limit tower spaces |
| title_short | Compacity in narrow limit tower spaces |
| title_sort | compacity in narrow limit tower spaces |
| url | http://dx.doi.org/10.1155/S0161171201005063 |
| work_keys_str_mv | AT liviucflorescu compacityinnarrowlimittowerspaces |