203 research outputs found
On totally disconnected subsets of chainable continua
We prove that each hereditarily disconnected Polish subspace of a Suslinian
chainable continuum is zero-dimensional at some point. It follows that every
chainable continuum which contains Erd\H{o}s space has uncountably-many
pairwise disjoint subcontinua. This answers a question of J. Krzempek
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