Homogeneity degree of fans
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.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.