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- W4311643648 abstract "Given a metric continuum $X$, a nonempty proper closed subspace $B$ of $X$, does not block a point $pin Xsetminus B$ provided that the union of all subcontinua of $X$ containing $p$ and contained in $Xsetminus B$ is a dense subset of $X$. The collection of all nonempty proper closed subspaces $B$ of $X$ such that $B$ does not block any element of $Xsetminus B$ is denoted by $NB(F_{1}(X))$. In this paper we prove that for each completely metrizable and separable space $Z$, there exists a continuum $X$ such that $Z$ is homeomorphic to $NB(F_{1}(X))$. This answers a series of questions by Camargo, Capul'in, Casta=neda-Alvarado and Maya." @default.
- W4311643648 created "2022-12-27" @default.
- W4311643648 creator A5015452375 @default.
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- W4311643648 date "2022-12-14" @default.
- W4311643648 modified "2023-09-25" @default.
- W4311643648 title "The hyperspace of non-blockers of singletons, all the possible examples" @default.
- W4311643648 doi "https://doi.org/10.48550/arxiv.2212.07077" @default.
- W4311643648 hasPublicationYear "2022" @default.
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