Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. II

Details Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. II Combinatorial and model-theoretical principles related to regularity of ultrafilters and compactness of topological spaces. II

2008-04-09

arxiv.org/abs/0804.1445v1

Mathematics

Logic

5 pages

Scientific paper

We find many conditions equivalent to the model-theoretical property $\lambda
\stackrel{\kappa}{\Rightarrow} \mu$ introduced in [L1].
Our conditions involve uniformity of ultrafilters, compactness properties of
products of topological spaces and the existence of certain infinite matrices.

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