Image partition regularity over the reals.
Hindman, Neil (2003)
The New York Journal of Mathematics [electronic only]
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Displaying similar documents to “Regular character tables of symmetric groups.”
Image partition regularity over the reals.
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Regular spaces of small extent are ω-resolvable
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We improve some results of Pavlov and Filatova, concerning a problem of Malykhin, by showing that every regular space X that satisfies Δ(X) > e(X) is ω-resolvable. Here Δ(X), the dispersion character of X, is the smallest size of a non-empty open set in X, and e(X), the extent of X, is the supremum of the sizes of all closed-and-discrete subsets of X. In particular, regular Lindelöf spaces of uncountable dispersion character are ω-resolvable. We also prove that...
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