Saharon Shelah
Abstract
Abstract We improve the canonization theorems generalizing the Erdös-Rado theorem, and as a result complete the answer to “When does a Hausdorff space of cardinality χ necessarily have a discrete subspace of cardinality k” We also improve the results on existence of free subsets.
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Abstract We improve the canonization theorems generalizing the Erdös-Rado theorem, and as a result complete the answer to “When does a Hausdorff space of cardinality χ necessarily have a discrete subspace of cardinality k” We also improve the results on existence of free subsets.
Key concepts: Cardinality (data modeling), Hausdorff space, Subspace topology, Mathematics, Space (punctuation), Combinatorics, Discrete mathematics, Urysohn and completely Hausdorff spaces