Scaled Boolean Algebras
refreshments at 3:45pm
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(at-sign)math.mit.edu
Return to seminar home page
Page loaded on September 17, 1999 at 12:42 PM.
Copyright © 1998-99, Sara C. Billey.
All rights reserved.