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Displaying similar documents to “On the rim-types of hereditarily locally connected continua”

On partitions in cylinders over continua and a question of Krasinkiewicz

Mirosława Reńska (2011)

Colloquium Mathematicae

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We show that a metrizable continuum X is locally connected if and only if every partition in the cylinder over X between the bottom and the top of the cylinder contains a connected partition between these sets. J. Krasinkiewicz asked whether for every metrizable continuum X there exists a partiton L between the top and the bottom of the cylinder X × I such that L is a hereditarily indecomposable continuum. We answer this question in the negative. We also present a...

Complexity of curves

Udayan B. Darji, Alberto Marcone (2004)

Fundamenta Mathematicae

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We show that each of the classes of hereditarily locally connected, finitely Suslinian, and Suslinian continua is Π₁¹-complete, while the class of regular continua is Π₀⁴-complete.