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- W2916870483 abstract "We extend nearness frames to posets representing bases and even subbases of $T_1$ spaces. This allows us to put a classic duality due to Wallman, between compact $T_1$ spaces and abstract simplicial complexes, into a general nearness framework. Within this framework we extend Wallman's duality to locally compact $T_1$ spaces and, with further modifications, to completely metrisable spaces. Moreover, we provide an elementary sublocale-free version of an admissibility condition due to Picado and Pultr and show how it strengthens Wallman's admissibility condition." @default.
- W2916870483 created "2019-03-02" @default.
- W2916870483 creator A5079447430 @default.
- W2916870483 date "2019-02-21" @default.
- W2916870483 modified "2023-09-27" @default.
- W2916870483 title "Nearness Posets" @default.
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