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arXiv · 1507.00617

Loops on spheres having a compact-free inner mapping group

Ágota Figula·Karl Strambach
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Abstract

We prove that any topological loop homeomorphic to a sphere or to a real projective space and having a compact-free Lie group as the inner mapping group is homeomorphic to the circle. Moreover, we classify the differentiable $1$-dimensional compact loops explicitly using the theory of Fourier series.

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Ágota Figula, Karl Strambach. 2015-07-01. Loops on spheres having a compact-free inner mapping group. https://arxiv.org/abs/1507.00617

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