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...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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/S0161171296000981 |
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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |