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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