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

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

2009-04-21

arxiv.org/abs/0904.3104v1

Mathematics

Logic

9 pages

Scientific paper

We discuss the existence of complete accumulation points of sequences in products of topological spaces. Then we collect and generalize many of the results proved in Parts I, II and IV. The present Part VI is complementary to Part V to the effect that here we deal, say, with uniformity, complete accumulation points and $ \kappa $-$(\lambda)$-compactness, rather than with regularity, $[ \lambda, \mu ]$-compactness and $ \kappa $-$ (\lambda, \mu)$-compactness. Of course, if we restrict ourselves to regular cardinals, Parts V (for $ \lambda = \mu$) and Part VI essentially coincide.

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