The existence of local homeomorphisms of degree \(n>1\) on local dendrites. (English) Zbl 0809.54028
Summary: We characterize local dendrites which are the images of themselves under local homeomorphisms of degree \(n\) for each positive integer \(n\).
MSC:
54F50 | Topological spaces of dimension \(\leq 1\); curves, dendrites |
54C10 | Special maps on topological spaces (open, closed, perfect, etc.) |
54F15 | Continua and generalizations |