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- W2012471963 abstract "For every $n geq 2$ we construct an $n$-dimensional compact subset $X$ of some Euclidean space $E$ so that none of the canonical projections of $E$ on its two-dimensional coordinate subspaces has a stable value when restricted to $X$. This refutes a longstanding claim due to Chogoshvili. To obtain this we study the lattice of upper semicontinuous decompositions of $X$ and in particular its sublattice that consists of monotone decompositions when $X$ is hereditarily indecomposable." @default.
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- W2012471963 date "1993-01-01" @default.
- W2012471963 modified "2023-09-26" @default.
- W2012471963 title "Stability and dimension―a counterexample to a conjecture of Chogoshvili" @default.
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- W2012471963 doi "https://doi.org/10.1090/s0002-9947-1993-1145964-7" @default.
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