Article ID Journal Published Year Pages File Type
4658175 Topology and its Applications 2015 7 Pages PDF
Abstract

Let X   be a Peano continuum having a free arc and let C0(X)C0(X) be the semigroup of continuous self-maps of X. It is shown that if there is a sensitive commutative subsemigroup F   of C0(X)C0(X) which consists of local homeomorphisms, then X is a circle.

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Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
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Sensitive semigroups of mappings on Peano continua having a free arc
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