Abstract
Caratheodory’s system of place functions on a Boolean σ \sigma -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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