Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777727 | Topology and its Applications | 2017 | 9 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Gerardo Acosta, Logan C. Hoehn, Yaziel Pacheco Juárez,