The Hausdorff number of a space X is the minumum cardinal k such that for every subset A of X such that |A| is greater or equal to k there exist neighbourhoods U_a for all a belonging to A so that the intersection of all U_a is empty. Some known cardinal inequalities for Hausdorff spaces are generalized in terms of the Hausdorff number.
On the Hausdorff number of a topological space
BONANZINGA, Maddalena
2013-01-01
Abstract
The Hausdorff number of a space X is the minumum cardinal k such that for every subset A of X such that |A| is greater or equal to k there exist neighbourhoods U_a for all a belonging to A so that the intersection of all U_a is empty. Some known cardinal inequalities for Hausdorff spaces are generalized in terms of the Hausdorff number.File in questo prodotto:
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