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arXiv · 2004.10913

Ends of non-metrizable manifolds: a generalized bagpipe theorem

David Fernández-Bretón·Nicholas G. Vlamis·Mathieu Baillif
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Abstract

We initiate the study of ends of non-metrizable manifolds and introduce the notion of short and long ends. Using the theory developed, we provide a characterization of (non-metrizable) surfaces that can be written as the topological sum of a metrizable manifold plus a countable number of "long pipes" in terms of their spaces of ends; this is a direct generalization of Nyikos's bagpipe theorem.

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David Fernández-Bretón, Nicholas G. Vlamis, Mathieu Baillif. 2020-04-23. Ends of non-metrizable manifolds: a generalized bagpipe theorem. https://doi.org/10.1016/j.topol.2022.108017

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