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Currently displaying 1 – 2 of 2

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Remark on ANR-divisors

Andrzej Kadlof — 1983

Fundamenta Mathematicae

Borsuk's quasi-equivalence is not transitive

Andrzej Kadlof; Nikola Koceić Bilan; Nikica Uglešić — 2007

Fundamenta Mathematicae

Borsuk's quasi-equivalence relation on the class of all compacta is considered. The open problem concerning transitivity of this relation is solved in the negative. Namely, three continua X, Y and Z lying in ℝ³ are constructed such that X is quasi-equivalent to Y and Y is quasi-equivalent to Z, while X is not quasi-equivalent to Z.

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