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Embeddings into pseudocompact spaces of countable tightness
by
Angelo Bella
University of Catania, Italy
Coauthors: Oleg Pavlov
A method for embedding certain countable spaces into a pseudocompact Tychonoff space of countable tightness is given. In particular, we obtain:
Corollary 1: [d=\omega1] There exists a pseudocompact Tychonoff sequential space X which does not have countable fan tightness.
Corollary 2: [CH] There exists a pseudocompact Tychonoff space of countable tightness which contains a non- discrete extremally disconnected subspace.
Date received: June 5, 2003
Copyright © 2003 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 Mathematical Conference Abstracts. Document # cajv-67.