A method for embedding certain countable spaces into a pseudocompact Tychonoff space of countable tightness is given. In particular, this permits construction under [CH] of two pseudocompact Tychonoff spaces of countable tightness, one does not have countable fan tightness and the other contains a non-discrete extremally disconnected subspace.

Embeddings into pseudocompact spaces of countable tightness

BELLA, Angelo;
2004-01-01

Abstract

A method for embedding certain countable spaces into a pseudocompact Tychonoff space of countable tightness is given. In particular, this permits construction under [CH] of two pseudocompact Tychonoff spaces of countable tightness, one does not have countable fan tightness and the other contains a non-discrete extremally disconnected subspace.
2004
Countable fan tightness; Extremally disconnected spaces; P-points; Pseudocompactness ; Sequential spaces
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/4178
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