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Homogeneous Embeddings of Continua
by
Wayne Lewis
Dept. of Mathematics, Texas Tech University, Lubbock, TX 79409-1042
A topological space X is homogeneous if for each pair of points x0, x1 of X there exists a homeomorphism h:X --> X of X onto itself with h(x0) = x1. A subspace Y of a topological space X is homogeneously embedded in X if for every pair of points y0, y1 of Y there is a homeomorphism h:X --> X of X onto itself with h(Y) = Y and h(y0) = y1.
Homogeneous continua have been extensively investigated but not as much attention has been devoted to homogeneous embeddings of continua. We discuss several known results on homogeneous embeddings and numerous open questions.
Date received: February 7, 2000
Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cady-32.