On generalized 3-manifolds which are not homologically locally connected

preprint2013arXivOpen access

Abstract

We show that the classical example XX 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 XX 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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