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Results tagged with frames-and-locales
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For questions about frames (=lattices with arbitrary joins and such that finite meets are distributive over those, such as the open sets of a topological set) and locales (the dual category to that of frames, seen as a generalization of topological spaces), as well as about pointfree (“pointless”) topology. This includes questions both of an algebraic nature about frames and of a topological nature about locales.
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Accepted
What's the point of a point-free locale?
A good answer to both questions is provided by the following variant of the Gelfand duality for commutative von Neumann algebras,
which shows that the following categories are equivalent:
The categor …
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