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math.GN2022
Meager composants of tree-like continua
David S. Lipham
A subset of a continuum is called a \textit{meager composant} if is maximal with respect to the property that every two of its points are contained in a nowhere dense s…
math.GN2022
Totally disconnected subsets of chainable continua
David S. Lipham
We show that the endpoint set of a Suslinian chainable continuum must be zero-dimensional at some point. In particular, it cannot be homeomorphic to complete Erdős space. This answ…