A topological space X is selectively highly divergent (SHD) if for every sequence of non -empty open sets {U-n : n is an element of omega} of X, we can find points x(n) is an element of U-n, for every n < omega such that the sequence {xn : n is an element of omega} has no convergent subsequences. In this note we answer four questions related to this notion that were asked by Jimenez-Flores, Rios-Herrejon, RojasSanchez and Tovar-Acosta.
On some questions on selectively highly divergent spaces
Bella, Angelo;Spadaro, Santi
2024-01-01
Abstract
A topological space X is selectively highly divergent (SHD) if for every sequence of non -empty open sets {U-n : n is an element of omega} of X, we can find points x(n) is an element of U-n, for every n < omega such that the sequence {xn : n is an element of omega} has no convergent subsequences. In this note we answer four questions related to this notion that were asked by Jimenez-Flores, Rios-Herrejon, RojasSanchez and Tovar-Acosta.File in questo prodotto:
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