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AB-compactum

Last-modified: 2011-08-12 (金) 02:38:28

Definition Edit

Let X be a compactum i.e. an infinite compact Hausdorff space.
X is called an AB-compactum if the cofinality? of the character imgtex.fcgi?%5bres=100%5d%7b$%5cchi%20%28x%2cY%29$%7d%25.png is countable whenever Y is a subset of X and x is a point in Y.

Reference Edit

Isaac Gorelic, Istvan Juhasz, AB-compacta, Comment. Math. Univ. Carolin. 49,1 (2008) 141–146.