On strongly replete lattices,support of A measure,and the wallman remainder |
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| Authors: | G. Bachman M. Szeto |
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| Affiliation: | (1) Polytechnic Institute of New York, 333 Jay Street, 11201 Brooklyn, NY, USA;(2) College of Staten Island, The City University of New York, 130 Stuyvesant Place, 10301 Staten Island, NY, USA |
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| Abstract: | ![]()
LetX be an abstract set andL a lattice of subsets ofX. To eachL-regular measure on the algebra generated byL, there are associated two measures on appropriate algebras of the Wallman space. In terms of these measures, we can obtain characterization for -smoothness, -smoothness, and tightness of the original measure. In particular, tight regular measures and their properties are investigated. |
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| Keywords: | Primary 28C15 Secondary 54D35' 54D60 |
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