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The Spring Topology and Dynamics Conference 2009
March 7-9, 2009
University of Florida
Gainesville, FL, USA

Organizers
Lou Block, Phil Boyland (chair), Beverly Brechner, Sasha Dranishnikov, and Jed Keesling.

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w1+1 is not monotonically countably compact
by
Strashimir G. Popvassilev
The City College of New York

We prove the result in the title. This shows that a proof of Gary Gruenhage that monotonically compact LOTS are metrizable (an year-old proof, compared to his more recent one that all monotonically compact Hausdorff spaces are metrizable) also works for monotonically countably compact LOTS. We do not have an example to distinguish between monotone compactness and monotone countable compactness.

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Date received: February 21, 2009

Copyright © 2009 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 # cayo-48.