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Sets on which Measurable Functions are Determined by their Range
by
Maxim R. Burke
Univ. of Prince Edward Island
We discuss circumstances under which there exists in a measurable space with negligibles (X, \Sigma, N) (\Sigma is a \sigma-algebra of subsets of X and N is a \sigma-ideal generated by its intersection with \Sigma), a set M such that for any two measurable functions f, g : X --> R, if f(M) = g(M) then f and g are essentially the same function.
Date received: April 12, 1996
Copyright © 1996 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caae-12.