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arXiv · 2108.09755

On the Topology of J-Groups

Rafael Dahmen
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Abstract

We introduce the concept of a topological J-group and determine for many important examples of topological groups if they are topological J-groups or not. Besides other results, we show that the underlying topological space of a pathwise connected topological J-group is weakly contractible which is a strong and unexpected obstruction that depends only on the homotopy type of the space.

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Rafael Dahmen. 2022-09-14. On the Topology of J-Groups. https://arxiv.org/abs/2108.09755

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