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- W2036764166 abstract "A subcontinuum $A$ of a continuum $X$ is a $W$-set if for each mapping $f:Y twoheadrightarrow X$ of an arbitrary continuum $Y$ onto $X$ there is a continuum in $Y$ which is mapped by $f$ onto $A$. We characterize $W$-sets in terms of accessibility by small continua. We localize several known results on continua all of whose subcontinua are $W$-sets. Finally, we extend a result of J. T. Rogers by proving that if $X$ is an atriodic continuum whose first Äech cohomology group is finitely generated then the hyperspace $C(X)$ of subcontinua of $X$ is two dimensional." @default.
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- W2036764166 date "1987-03-01" @default.
- W2036764166 modified "2023-09-26" @default.
- W2036764166 title "On a characterization of $W$-sets and the dimension of hyperspaces" @default.
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- W2036764166 doi "https://doi.org/10.1090/s0002-9939-1987-0891163-6" @default.
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