Lattice normality and outer measures
نویسندگان
چکیده
منابع مشابه
Outer Measures on a Linear Lattice
In this paper we define and discuss the theory of abstract outer measures on a sequentially continuous(2) linear lattice S. This is a generalization of the concept of outer measure on a function space as used by Bourbaki [3]. H. Nakano [7] and M. H. Stone [8] have modernized Lebesgue's extension theory; our approach provides a common generalization of their theories. We show, for example, that ...
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XXX OBSOLETE XXX HALF-BAKED XXX The ideas described herein are confusingly presented, and are half-baked, incomplete, incoherent. Essentially all the ideas herein are presented more sensibly, more coherently in other papers on this website. Much of what was originally in this paper has been edited out, and moved to another paper, which presents the ideas in a much clearer fashion: see [9]. XXX ...
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In this tutorial, I will discuss the concepts behind generalizing ordering to measuring and apply these ideas to the derivation of probability theory. The fundamental concept is that anything that can be ordered can be measured. Since we are in the business of making statements about the world around us, we focus on ordering logical statements according to implication. This results in a Boolean...
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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.
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ژورنال
عنوان ژورنال: International Journal of Mathematics and Mathematical Sciences
سال: 1993
ISSN: 0161-1712,1687-0425
DOI: 10.1155/s016117129300002x