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arxiv: 1301.5768 · v1 · pith:G7XCIHIQnew · submitted 2013-01-24 · 🧮 math.GT · math.AT

On generalized 3-manifolds which are not homologically locally connected

classification 🧮 math.GT math.AT
keywords locallyconnectedconstructeddimensionalexamplegeneralizedhomologicallymanifolds
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We show that the classical example $X$ of a 3-dimensional generalized manifold constructed by van Kampen is another example of not homologically locally connected (i.e. not HLC) space. This space $X$ is not locally homeomorphic to any of the compact metrizable 3-dimensional manifolds constructed in our earlier paper which are not HLC spaces either.

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