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arXiv · 2410.07570

The existence of $S^1\times C_p$-maps between representation spheres and its applications

Ikumitsu Nagasaki
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Abstract

We show the existence of $S^1\times C_p$-maps between certain representation spheres. As an application, we show that, in the family of abelian compact Lie groups, a group $G$ has the weak Borsuk-Ulam property (in the sense of Bartsch) if and only if $G$ is either a finite abelian $p$-group or a $k$-torus.

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Ikumitsu Nagasaki. 2024-10-10. The existence of $S^1\times C_p$-maps between representation spheres and its applications. https://arxiv.org/abs/2410.07570

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