-smoothness Criteria for Lattice Measures
نویسنده
چکیده
Let X be an abstract set and L a lattice of subsets of X such that ;; X 2 L. In this paper we extend smoothness characterizations of L regular measures 2 MR(L) to the general case of 2 M (L), by considering different outer measures associated with and the induced measure on a Wallman space.
منابع مشابه
On Measure Repleteness and Support for Lattice Regular Measures 707
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, yiel...
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