Approximating Kelley Continua by Rays
We investigate what Kelley continua can be approximated by a ray in such a way that the union is a Kelley continua. We show that continua containing triods may not be approximated in this manner, while for hereditarily indecomposable continua, every approximation works. Our main result is that that such an approximation exists for any arc-like continua.
W. J. Charatonik and R. A. Beane, "Approximating Kelley Continua by Rays," Topology Atlas, Jan 2006.
Mathematics and Statistics
Keywords and Phrases
Kelley Continua; Continuum (Mathematics); Mappings (Mathematics); Topology
Article - Conference proceedings
© 2006 Topology Atlas, All rights reserved.
01 Jan 2006