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Article

Miklos, S.
The existence of local homeomorphisms of degree $n>1$ on local dendrites. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 34 (1993), issue 2, pp. 363-366
MSC: 54C10, 54F15, 54F20, 54F50 | MR 1241745 | Zbl 0809.54028
Keywords:
local homeomorphism; map of degree $n$; continuum; local dendrite; dendrite; graph
Summary:
In this paper we characterize local dendrites which are the images of themselves under local homeomorphisms of degree $n$ for each positive integer $n$.
References:
[1] Maćkowiak T.: Local homeomorphisms onto tree-like continua. Colloq. Math. 38 (1977), 63-68. MR 0464200
[2] Miklos S.: Exactly $(n,1)$ mappings onto generalized local dendrites. Topology Appl. 31 (1989), 47-53. MR 0984103 | Zbl 0667.54013
[3] Miklos S.: Local homeomorphisms onto nonunicoherent continua. Period. Math. Hungar. 20 (1989), 305-306. MR 1042718 | Zbl 0649.54019
[4] Rosenholtz I.: Local expansions, derivatives, and fixed points. Fund. Math. 91 (1976), 1-4. MR 0410719 | Zbl 0326.54031
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