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- W4251781036 abstract "For a continuum $X$, let $C(X)$ (resp. ${2^x}$) be the spaces of all nonempty subcontinua (resp. closed subsets) of $X$. In this paper we answer a question of Dilks by showing an example of a continuum $X$ such that if $H = C(X){text { or }}{2^x}$, then $H$ does not have nonempty open subsets which are contractible in $H$. In particular, $H$ is not locally contractible at any of its points." @default.
- W4251781036 created "2022-05-12" @default.
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- W4251781036 date "1991-04-01" @default.
- W4251781036 modified "2023-10-14" @default.
- W4251781036 title "A Continuum Having its Hyperspaces not Locally Contractible at the Top" @default.
- W4251781036 doi "https://doi.org/10.2307/2048586" @default.
- W4251781036 hasPublicationYear "1991" @default.
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