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Representations of structural closure operators

✍ Scribed by José Gil-Férez

Publisher
Springer
Year
2010
Tongue
English
Weight
340 KB
Volume
50
Category
Article
ISSN
0933-5846

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📜 SIMILAR VOLUMES

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matrix M and A a set of its columns. We say that A implies a iff M contains no two rows equal i n A but different i n a. It is easy IO see that if Y,~,(A) denotes . the columns implied by A, than :/,,,(A) is a closure operation. We say that M represents this closure operation.

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The system of all the closure operators on a set V forms a lattice. This lattice is isomorphic to the lattice of all the Moore families of subsets of V. This paper describes basic properties of these lattices, and gives a method to find all the members of these lattices.

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We construct a class of elliptic operators in the edge algebra on a manifold M with an embedded submanifold Y interpreted as an edge. The ellipticity refers to a principal symbolic structure consisting of the standard interior symbol and an operator-valued edge symbol. Given a di erential operator A