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math.GN2005
Countable Tightness, Elementary Submodels and Homogeneity
Ramiro de la Vega
We show (in ZFC) that the cardinality of a compact homogeneous space of countable tightness is no more than the size of the continuum.
math.GN2004★ 2 cited
Homogeneity properties in large compact S-spaces
Ramiro de la Vega
Under Jensen's Diamond Principle, we show how to construct a large compact S-space while having some control over its group of autohomeomorphisms. In particular we can make the spa…
math.GN2003★ 1 cited
A Compact Homogeneous S-space
Ramiro de la Vega, Kenneth Kunen
Under the continuum hypothesis, there is a compact homogeneous strong S-space.