The Extended Real Line with Reentry is the first compact path-connected US-not-KC space, obtained via a density-modified quotient of the extended reals.
On 3-manifolds that cover themselves
2 Pith papers cite this work. Polarity classification is still indexing.
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The paper surveys methods to construct spaces with non-trivial self-covers, discusses related group-theoretic and topological issues, and lists open problems.
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The Extended Real Line with Reentry: Separating US from KC in the Clontz Hierarchy
The Extended Real Line with Reentry is the first compact path-connected US-not-KC space, obtained via a density-modified quotient of the extended reals.
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Methods of constructing spaces with non-trivial self covers
The paper surveys methods to construct spaces with non-trivial self-covers, discusses related group-theoretic and topological issues, and lists open problems.