Topological properties of generalized Wallman spaces and lattice relations

James A. Allan

International Journal of Mathematics and Mathematical Sciences, 1996, vol. 19, 1-6

Abstract:

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 T 2 , regularity and Lindelöf with ℒ .

Date: 1996
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/19/218708.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/19/218708.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:218708

DOI: 10.1155/S0161171296000981

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().