Some counterexamples and properties on generalizations of Lindelöf spaces
In this paper we give some significative counterexamples to prove that some well known generalizations of Lindelöf property are proper. Also we give some new results, we introduce and study the almost regular-Lindelof spaces as a generalization of the almost-Lindelöf spaces and as a new and signi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296001020 |
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| _version_ | 1832556461707755520 |
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| author | Filippo Cammaroto Grazia Santoro |
| author_facet | Filippo Cammaroto Grazia Santoro |
| author_sort | Filippo Cammaroto |
| collection | DOAJ |
| description | In this paper we give some significative
counterexamples to prove that some well known
generalizations of Lindelöf property are proper. Also we
give some new results, we introduce and study
the almost regular-Lindelof spaces as a generalization of
the almost-Lindelöf spaces and as a new and
significative application of the quasi-regular open subsets of [1]. |
| format | Article |
| id | doaj-art-4733550a95cf4ba1aa586cddaa85ab03 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4733550a95cf4ba1aa586cddaa85ab032025-02-03T05:45:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119473774610.1155/S0161171296001020Some counterexamples and properties on generalizations of Lindelöf spacesFilippo Cammaroto0Grazia Santoro1Dipartimento di Matematica, Universita' di Catania, Viale A Doria, 6, Catania 95100, ItalyDipartimento di Matematica, Universita' di Messina, Salita Sperone, n 31, Sant' Agata, Messina 98166, ItalyIn this paper we give some significative counterexamples to prove that some well known generalizations of Lindelöf property are proper. Also we give some new results, we introduce and study the almost regular-Lindelof spaces as a generalization of the almost-Lindelöf spaces and as a new and significative application of the quasi-regular open subsets of [1].http://dx.doi.org/10.1155/S0161171296001020Lindelöf spacealmost Lindelöfweakly Lindelöf and nearly Lindelöf semiregular and almost-regular spaceregular cover. |
| spellingShingle | Filippo Cammaroto Grazia Santoro Some counterexamples and properties on generalizations of Lindelöf spaces International Journal of Mathematics and Mathematical Sciences Lindelöf space almost Lindelöf weakly Lindelöf and nearly Lindelöf semiregular and almost-regular space regular cover. |
| title | Some counterexamples and properties on generalizations of Lindelöf spaces |
| title_full | Some counterexamples and properties on generalizations of Lindelöf spaces |
| title_fullStr | Some counterexamples and properties on generalizations of Lindelöf spaces |
| title_full_unstemmed | Some counterexamples and properties on generalizations of Lindelöf spaces |
| title_short | Some counterexamples and properties on generalizations of Lindelöf spaces |
| title_sort | some counterexamples and properties on generalizations of lindelof spaces |
| topic | Lindelöf space almost Lindelöf weakly Lindelöf and nearly Lindelöf semiregular and almost-regular space regular cover. |
| url | http://dx.doi.org/10.1155/S0161171296001020 |
| work_keys_str_mv | AT filippocammaroto somecounterexamplesandpropertiesongeneralizationsoflindelofspaces AT graziasantoro somecounterexamplesandpropertiesongeneralizationsoflindelofspaces |