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- W2956841176 abstract "A connected topological space Z is unicoherent provided that if Z=A∪B where A and B are closed connected subsets of Z, then A∩B is connected. Let Z be a unicoherent topological space and let z∈Z, we say that z makes a hole in Z if Z−{z} is not unicoherent. Let HS(X)=C(X)/F1(X) be the hyperspace suspension of a continuum X, where C(X) is the hyperspace of all nonempty subcontinua of X, and let F1(X) denote the space of singletons of X. In this paper we study the following problem: for which A∈HS(X), A makes a hole in HS(X). We present the solution to this problem and we make an application to give the classification theorems for some families of continua." @default.
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- W2956841176 date "2019-09-01" @default.
- W2956841176 modified "2023-10-09" @default.
- W2956841176 title "Making holes in the hyperspace suspension" @default.
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- W2956841176 doi "https://doi.org/10.1016/j.topol.2019.106816" @default.
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