Realcompactification and repleteness of Wallman spaces

The extension of bounded lattice continuous functions on an arbitrary set X to the set of lattice regular zero-one measures on an algebra generated by a lattice (a Wallman-type space) is investigated.

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Bibliographic Details
Main Author: James Camacho
Format: Article
Language:English
Published: Wiley 1993-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Subjects:
Online Access:http://dx.doi.org/10.1155/S016117129300064X
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author James Camacho
author_facet James Camacho
author_sort James Camacho
collection DOAJ
description The extension of bounded lattice continuous functions on an arbitrary set X to the set of lattice regular zero-one measures on an algebra generated by a lattice (a Wallman-type space) is investigated.
format Article
id doaj-art-08a3463104dd490a92adebf2ba59c9c2
institution OA Journals
issn 0161-1712
1687-0425
language English
publishDate 1993-01-01
publisher Wiley
record_format Article
series International Journal of Mathematics and Mathematical Sciences
spelling doaj-art-08a3463104dd490a92adebf2ba59c9c22025-08-20T02:03:19ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251993-01-0116351953010.1155/S016117129300064XRealcompactification and repleteness of Wallman spacesJames Camacho0Jersey City State College, 2039 Kennedy Boulevard, Jersey City, New Jersey 07305, USAThe extension of bounded lattice continuous functions on an arbitrary set X to the set of lattice regular zero-one measures on an algebra generated by a lattice (a Wallman-type space) is investigated.http://dx.doi.org/10.1155/S016117129300064XrealcompactrepletenessWallman spacesnormal latticelattice continuous functions.
spellingShingle James Camacho
Realcompactification and repleteness of Wallman spaces
International Journal of Mathematics and Mathematical Sciences
realcompact
repleteness
Wallman spaces
normal lattice
lattice continuous functions.
title Realcompactification and repleteness of Wallman spaces
title_full Realcompactification and repleteness of Wallman spaces
title_fullStr Realcompactification and repleteness of Wallman spaces
title_full_unstemmed Realcompactification and repleteness of Wallman spaces
title_short Realcompactification and repleteness of Wallman spaces
title_sort realcompactification and repleteness of wallman spaces
topic realcompact
repleteness
Wallman spaces
normal lattice
lattice continuous functions.
url http://dx.doi.org/10.1155/S016117129300064X
work_keys_str_mv AT jamescamacho realcompactificationandrepletenessofwallmanspaces