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Two non-images of H*
by
KP Hart
TU Delft
Coauthors: Alan Dow (UNCC)
I shall describe two compact connected Hausdorff spaces that are (consistently) not continuous images of the Cech-Stone remainder of the half line: one separable and one first-countable. The Continuum Hypothesis implies that all spaces from both classes are continuous images of the aforementioned remainder.
Paper reference: arXiv:0708.0838, arXiv:0805.4739
Date received: May 11, 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 # cawr-06.