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arXiv · 1706.04135

Homogeneity degree of fans

Gerardo Acosta·Logan C. Hoehn·Yaziel Pacheco Juárez
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Abstract

The homogeneity degree of a topological space $X$ is the number of orbits of the action of the homeomorphism group of $X$ on $X$. We initiate a study of dendroids of small homogeneity degree, beginning with fans. We classify all smooth fans of homogeneity degree $3$, and discuss non-smooth fans and prove some results on degree $4$.

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Gerardo Acosta, Logan C. Hoehn, Yaziel Pacheco Juárez. 2017-06-13. Homogeneity degree of fans. https://arxiv.org/abs/1706.04135

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