On normal lattices and Wallman spaces
Let X be an abstract set and Ω a lattice of subsets of X. The notion of Ω being mildly normal or slightly normal is investigated. Also, the general Wallman space with an alternate topology is investigated, and for Ω not necessarily disjunctive, an analogue of the Wallman space is constructed.
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| Format: | Article |
| Language: | English |
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Wiley
1990-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171290000047 |
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| _version_ | 1850164925106749440 |
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| author | George M. Eid |
| author_facet | George M. Eid |
| author_sort | George M. Eid |
| collection | DOAJ |
| description | Let X be an abstract set and Ω a lattice of subsets of X. The notion of Ω being mildly normal or slightly normal is investigated. Also, the general Wallman space with an alternate topology is investigated, and for Ω not necessarily disjunctive, an analogue of the Wallman space is constructed. |
| format | Article |
| id | doaj-art-f2346dcd02b148fcbb3f537df3d70672 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1990-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-f2346dcd02b148fcbb3f537df3d706722025-08-20T02:21:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251990-01-01131313810.1155/S0161171290000047On normal lattices and Wallman spacesGeorge M. Eid0Department of Mathematics, John Jay College of Criminal Justice, The City University of New York, 445 West 59th Street, New York 10019, NY, USALet X be an abstract set and Ω a lattice of subsets of X. The notion of Ω being mildly normal or slightly normal is investigated. Also, the general Wallman space with an alternate topology is investigated, and for Ω not necessarily disjunctive, an analogue of the Wallman space is constructed.http://dx.doi.org/10.1155/S0161171290000047normal lattice0−1 valued measuresWallman spacedisjunctive latticealmost compactalmost countably compact. |
| spellingShingle | George M. Eid On normal lattices and Wallman spaces International Journal of Mathematics and Mathematical Sciences normal lattice 0−1 valued measures Wallman space disjunctive lattice almost compact almost countably compact. |
| title | On normal lattices and Wallman spaces |
| title_full | On normal lattices and Wallman spaces |
| title_fullStr | On normal lattices and Wallman spaces |
| title_full_unstemmed | On normal lattices and Wallman spaces |
| title_short | On normal lattices and Wallman spaces |
| title_sort | on normal lattices and wallman spaces |
| topic | normal lattice 0−1 valued measures Wallman space disjunctive lattice almost compact almost countably compact. |
| url | http://dx.doi.org/10.1155/S0161171290000047 |
| work_keys_str_mv | AT georgemeid onnormallatticesandwallmanspaces |