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math.AT2021★ 1 cited
Every Continuum has a Compact Universal Cover
Conrad Plaut
We define the compact universal cover of a compact, metrizable connected space (i.e. a continuum) X to be the inverse limit of all continua that regularly cover X. We show that suc…
math.AT2020
Weakly Chained Spaces
Conrad Plaut
We introduce "weakly chained spaces", which need not be locally connected or path connected, but for which one has a reasonable notion of generalized fundamental group and associat…
math.AT2006
Generalized Universal Covers of Uniform Spaces
Valera Berestovskii, Conrad Plaut
We develop a generalized covering space theory for a class of uniform spaces called coverable spaces. Coverable spaces include all geodesic metric spaces, connected and locally pat…