Topological properties of generalized Wallman spaces and lattice relations
Let X be an abstract set and ℒ be a lattice of subsets of X. Associated with the pair (X,ℒ) are a variety of Wallman-type topological spaces. Some of these spaces generalize very important topological spaces such as the Stone-Čech compactification, the real compactification, etc. We consider the...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000981 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832556353945600000 |
|---|---|
| author | James A. Allan |
| author_facet | James A. Allan |
| author_sort | James A. Allan |
| collection | DOAJ |
| description | Let X be an abstract set and ℒ be a lattice of subsets of X. Associated with the
pair (X,ℒ) are a variety of Wallman-type topological
spaces. Some of these spaces generalize very
important topological spaces such as the Stone-Čech
compactification, the real compactification, etc. We
consider the general setting and investigate how the properties of ℒ reflect over to the general Wallman
Spaces and conversely. Completeness properties of the lattices in
the Wallman Spaces are investigated,
as well as the interplay of topological properties
of these spaces such as T2, regularity and Lindelöf with ℒ. |
| format | Article |
| id | doaj-art-aeb6548f12634d27bd226164f8c1f6eb |
| 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-aeb6548f12634d27bd226164f8c1f6eb2025-02-03T05:45:38ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119471772210.1155/S0161171296000981Topological properties of generalized Wallman spaces and lattice relationsJames A. Allan0Long Island University, Department of Mathematics, Brooklyn 11201, New York, USALet X be an abstract set and ℒ be a lattice of subsets of X. Associated with the pair (X,ℒ) are a variety of Wallman-type topological spaces. Some of these spaces generalize very important topological spaces such as the Stone-Čech compactification, the real compactification, etc. We consider the general setting and investigate how the properties of ℒ reflect over to the general Wallman Spaces and conversely. Completeness properties of the lattices in the Wallman Spaces are investigated, as well as the interplay of topological properties of these spaces such as T2, regularity and Lindelöf with ℒ.http://dx.doi.org/10.1155/S0161171296000981Generalized Wallman Spaces and their topological propertieslattice repleteness and completenesszero-one valued measuressmoothness properties of measures. |
| spellingShingle | James A. Allan Topological properties of generalized Wallman spaces and lattice relations International Journal of Mathematics and Mathematical Sciences Generalized Wallman Spaces and their topological properties lattice repleteness and completeness zero-one valued measures smoothness properties of measures. |
| title | Topological properties of generalized Wallman spaces and lattice relations |
| title_full | Topological properties of generalized Wallman spaces and lattice relations |
| title_fullStr | Topological properties of generalized Wallman spaces and lattice relations |
| title_full_unstemmed | Topological properties of generalized Wallman spaces and lattice relations |
| title_short | Topological properties of generalized Wallman spaces and lattice relations |
| title_sort | topological properties of generalized wallman spaces and lattice relations |
| topic | Generalized Wallman Spaces and their topological properties lattice repleteness and completeness zero-one valued measures smoothness properties of measures. |
| url | http://dx.doi.org/10.1155/S0161171296000981 |
| work_keys_str_mv | AT jamesaallan topologicalpropertiesofgeneralizedwallmanspacesandlatticerelations |