On measure repleteness and support for lattice regular measures

Autor:	George Bachman, P. D. Stratigos
Jazyk:	angličtina
Rok vydání:	1987
Předmět:	Support of a measure repleteness realcompactness and α-completeness measure completeness measure compactness and Borel measure compactness clopen measure repleteness strong measure repleteness strong measure compactness etc. Mathematics QA1-939
Zdroj:	International Journal of Mathematics and Mathematical Sciences, Vol 10, Iss 4, Pp 707-724 (1987)
Druh dokumentu:	article
ISSN:	0161-1712 1687-0425 01611712
DOI:	10.1155/S0161171287000814
Popis:	The present paper is mainly concerned with establishing conditions which .assure that all lattice regular measures have additional smoothness properties or that simply all two-valued such measures have such properties and are therefore Dirac measures. These conditions are expressed in terms of the general Wallman space. The general results are then applied to specific topological lattices, yielding new conditions for measure compactness, Borel measure compactness, clopen measure repleteness, strong measure compactness, etc. In addition, smoothness properties in the general setting for lattice regular measures are related to the notion of support, and numerous applications are given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/aae0a34e3b8f4cebbcd48c267728385b Zobrazit plný text záznamu Plný text View record in DOAJ