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D-SPACES, IRREDUCIBILITY AND TREES

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Author(s):
Aurichi, Leandro F. ; Junqueira, Lucia R. ; Larson, Paul B. ; Auburn Univ
Total Authors: 4
Document type: Journal article
Source: TOPOLOGY PROCEEDINGS, VOL 35; v. 35, p. 3-pg., 2010-01-01.
Abstract

We show that the removal of one point from 2(omega 1) gives a counterexample to a conjecture of Ishiu on D-spaces. We also show that Martin's Axiom implies that there are no Lindelof non-D-spaces that can be written as union of less than continuum many compact subspaces. Finally we show that the property of being a D-space is preserved by forcing with trees of height omega. (AU)

FAPESP's process: 05/60183-5 - Paul Larson | Miami University - Estados Unidos
Grantee:Lúcia Renato Junqueira
Support Opportunities: Research Grants - Visiting Researcher Grant - International