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Talk:Paving

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Revision as of 17:17, 14 October 2017 by Richard Pinch (talk | contribs) (Created page with "==Definition of compact== The definition of compactness in terms of the finite intersection property here seems wrong. The text says :A compact paving is a paving $\mathcal{...")
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Definition of compact

The definition of compactness in terms of the finite intersection property here seems wrong. The text says

A compact paving is a paving $\mathcal{C}$ with the FIP: for every finite subset $\{C_1,\ldots,C_n\} \subset \mathcal{C}$, $\cap_{i=1}^n C_i \ne \emptyset$.

The reference says that

any $\mathcal{F} \subset \mathcal{C}$ having the FIP has non-empty intersection

I don't think these are the same. Richard Pinch (talk) 19:17, 14 October 2017 (CEST)

How to Cite This Entry:
Paving. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Paving&oldid=42072