A ZFC Dowker space in $\aleph_{ω+1}$: an application of pcf theory to topology

Details A ZFC Dowker space in $\aleph_{ω+1}$: an application of pcf theory to topology A ZFC Dowker space in $\aleph_{ω+1}$: an application of pcf theory to topology

1995-12-11

arxiv.org/abs/math/9512202v1

Mathematics

Logic

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A ZFC Dowker space is constructed which has cardinality $\aleph_{\omega+1}$. This provides a bound in ZFC to the first cardinal in which there is a ZFC Dowker space. The space we construct is a closed and cofinal subspace of M.~E.~Rudin's Dowker space from 1971. A theorem from pcf theory used in the proof, but otherwise the proof is elementary.

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