Famous generalized properties
Pretopology

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Famous generalized properties
Pretopology

Author : Jean-Charles PINOLI

Review date: May 7, 2021 | Lire en français

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6. Famous generalized properties

6.1 Generalized Cantorian property

Definition (generalized Cantorian property (Appert, 1932)). Let be a general pre-topological space (E,cl). A monotone nonempty collection of nonempty subsets of E (p. 22 of [AF 94]), denoted C, has the generalized Cantorian property if there exists a point of E adhering to each member of

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