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Strongly Almost Disjoint Sets and Weakly Uniform Bases

✍ Scribed by Z. T. Balogh, S. W. Davis, W. Just, S. Shelah and P. J. Szeptycki


Book ID
123708921
Publisher
American Mathematical Society
Year
2000
Tongue
English
Weight
492 KB
Volume
352
Category
Article
ISSN
0002-9947

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A base B for a topological space X is said to be sharp if for every x ∈ X and every sequence (U n ) nβˆˆΟ‰ of pairwise distinct elements of B with x ∈ U n for all n the set { i<n U i : n ∈ Ο‰} forms a base at x. Sharp bases of T 0 -spaces are weakly uniform. We investigate which spaces with sharp bases