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Hereditary separability in Hausdorff continua
by
Dale Daniel
Lamar University
We consider those Hausdorff continua S such that each separable subspace of S is hereditarily separable. Due to results of Ostaszewski and Rudin, respectively, all monotonically normal spaces and therefore all continuous Hausdorff images of ordered compacta have this property. Our study focuses on the structure of such spaces that also possess one of various rim properties.
Date received: February 18, 2008
Copyright © 2008 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 # cawk-48.