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arXiv · 1905.07199

A note on covers defining relative and sectional categories

Jose Manuel García-Calcines
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Abstract

We give a characterization of relative category in the sense of Doeraene-El Haouari by using open covers. We also prove that relative category and sectional category can be defined by taking arbitrary covers (not necessarily open) when dealing with ANR spaces.

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Jose Manuel García-Calcines. 2019-05-17. A note on covers defining relative and sectional categories. https://arxiv.org/abs/1905.07199

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