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arXiv · 2107.13158

Determination of compact Lie groups with the Borsuk-Ulam property

Ikumitsu Nagasaki
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Abstract

In this paper, we shall discuss the classical question of which compact Lie groups have the Borsuk-Ulam property and in particular we shall show that every extension group of a n-torus by a cyclic group of prime order does not have the Borsuk-Ulam property. This leads us that the only compact Lie groups with the Borsuk-Ulam property are an elementary abelian p-group and an n-torus, which is a final answer to the question.

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Ikumitsu Nagasaki. 2021-07-28. Determination of compact Lie groups with the Borsuk-Ulam property. https://arxiv.org/abs/2107.13158

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