Abstract

CAMARGO, JAVIER. Locally One to One Maps between Continua. Rev.colomb.mat. [online]. 2011, vol.45, n.2, pp.167-177. ISSN 0034-7426.

A map f between topological spaces is called locally one to one provided that for every point x there exists an open set U such that x∈ U and f|_U is one to one. We study properties of this kind of maps, when they are defined from a continuum onto itself. Also, we show necesary and sufficient conditions that a continuum X must satisfy to prove the following: If \hboxf:X→ X is locally one to one, then f is a homeomorphism.

Keywords : Maps between continua; Locally one to one maps; Dendroids; Continua; Local homeomorphisms.

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