Abstract
This paper is the paper announced in [Be2, References [2]]. We show that every compact abelian group of homeomorphisms of $\mathbb{R}^3$ is either zero-dimensional or equivalent to a subgroup of the orthogonal group O(3). We prove a similar result if we replace $\mathbb{R}^3$ by $\mathbb{S}^3$, and we study regular homeomorphisms that are conjugate to their inverses.
Citation
Khadija Ben REJEB. "Regular homeomorphisms of $\mathbb{R}^3$ and of $\mathbb{S}^3$." Hokkaido Math. J. 47 (2) 351 - 371, June 2018. https://doi.org/10.14492/hokmj/1529308823
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