Article ID Journal Published Year Pages File Type
5777705 Topology and its Applications 2017 6 Pages PDF
Abstract
The homogeneity degree of a space X is the number of orbits for the action of the autohomeomorphisms group of X. We determine the homogeneity degree of the cone over a locally connected curve X not being a local dendrite in terms of that of X. Using the result of Pellicer-Covarrubias and Santiago-Santos, it gives us a formula for the homogeneity degree of the cone over any locally connected curve X.
Related Topics
Physical Sciences and Engineering Mathematics Geometry and Topology
Authors
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