On generalized 3-manifolds which are not homologically locally connected

Umed H. Karimov; Dušan Repovš

doi:10.1016/j.topol.2012.10.014

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arXiv · 1301.5768

On generalized 3-manifolds which are not homologically locally connected

Umed H. Karimov·Dušan Repovš

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Abstract

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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BibTeX RIS

Umed H. Karimov, Dušan Repovš. 2013-01-24. On generalized 3-manifolds which are not homologically locally connected. https://doi.org/10.1016/j.topol.2012.10.014

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