LOCALES IN FUNCTIONAL-ANALYSIS

[摘要] Locales, as a generalization of the notion of topological space, play a crucial role in allowing theorems of functional analysis which classically depend on the Axiom of Choice to be suitably reformulated and proved in the intuitionistic context of a Grothendieck topos. The manner in which locales arise and the role they play are discussed in connection with the Hahn-Banach and Gelfand duality theorems.

[发布日期] 1991-03-15