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arXiv · 1907.10400

The Projection Problem in Commutative, Positively Ordered Monoids

Gianluca Cassese
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Abstract

We examine the problem of projecting subsets of a commutative, positively ordered monoid into an $o$-ideal. We prove that to this end one may restrict to a sufficient subset, for whose cardinality we provide an explicit upper bound. Several applications to set functions, vector lattices and other more explicit structures are provided.

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Gianluca Cassese. 2019-07-24. The Projection Problem in Commutative, Positively Ordered Monoids. https://doi.org/10.1007/s00233-022-10308-z

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