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On closure operators and the sieve formula - MaRDI portal

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On closure operators and the sieve formula (Q2707962)

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scientific article
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English
On closure operators and the sieve formula
scientific article

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    29 May 2001
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    closure operator
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    sieve formula
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    chain
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    Boolean algebra
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    On closure operators and the sieve formula (English)
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    Let \(\{A_{v}\}_{v\in V}\) be a finite family of sets equipped with a measure on the Boolean algebra generated by these sets. In this paper an improved sieve formula containing a smaller number of terms for any suitable closure operator on the power set of \(V\) is established, thus generalizing several well-known results from the literature.
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