``Place functions'': alias continuous functions on the Stone space
Author: I. Fleischer
Journal: Proc. Amer. Math. Soc. 106 (1989), 451-453
MSC: Primary 06E15; Secondary 28A60
MathSciNet review: 967485
Abstract: Caratheodory's system of place functions on a Boolean -ring is shown to be canonically isomorphic--order and algebraically--to the system of continuous extended real-valued functions over its Stone space. This enables one to dispense with the imperspicuous formulae and calculations of [CL] in favor of the more straightforward and familiar ones of function spaces; and to subsume the proposed generalization of integration under standard treatment.
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