Scaled Boolean Algebras
Michael Hardy
MIT
October 20,
4:15pm
refreshments at 3:45pm
2338
ABSTRACT

A problem in the foundations of probability inspired the definition
of a "scale"  a certain kind of increasing function whose domain is
a Boolean algebra and whose range is a poset. A scale rho : A > S
induces operations on S that make S behave in some ways like a Boolean
algebra, satisfying a modular law and some de Morgan laws. In some
other ways, S behaves quite unlike Boolean algebras  in particular,
in some cases S is not a lattice. Examples of scales will be
exhibited, basic properties of scales will be proved, and their
application to probability will be explained.

Speaker's Contact Info: hardy(atsign)math.mit.edu
Return to seminar home page
Page loaded on September 17, 1999 at 12:42 PM.

Copyright © 199899, Sara C. Billey.
All rights reserved.

