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Homogeneity degree of fans
- Publication Year :
- 2017
-
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 $4$.
- Subjects :
- Mathematics - General Topology
Primary 54F50, Secondary 54F65, 54F15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.1706.04135
- Document Type :
- Working Paper