Vol. 59, No. 2, 1975

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A conditional entropy for the space of pseudo-Menger maps

Alan Saleski

Vol. 59 (1975), No. 2, 525–533
Abstract

Let X be a set and T : X X be a bijection. Consider the space of pseudo-Menger maps on X which induce a compact topology on X for which T is a homeomorphism. The lattice properties of are investigated and a bivariate nonnegative function of is defined which possesses certain properties analogous to those of the usual conditional entropy function defined on the space of measurable partitions of a probability space.

Mathematical Subject Classification 2000
Primary: 54E99
Secondary: 28A65
Milestones
Received: 4 October 1974
Revised: 21 April 1975
Published: 1 August 1975
Authors
Alan Saleski