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In mathematics, specifically in order theory and functional analysis, if is a cone at 0 in a vector space such that then a subset is said to be -saturated if where Given a subset the -saturated hull of is the smallest -saturated subset of that contains If is a collection of subsets of then -saturated sets play an important role in the theory of ordered topological vector spaces and topological vector lattices.

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  • Cone-saturated (en)
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  • In mathematics, specifically in order theory and functional analysis, if is a cone at 0 in a vector space such that then a subset is said to be -saturated if where Given a subset the -saturated hull of is the smallest -saturated subset of that contains If is a collection of subsets of then -saturated sets play an important role in the theory of ordered topological vector spaces and topological vector lattices. (en)
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  • In mathematics, specifically in order theory and functional analysis, if is a cone at 0 in a vector space such that then a subset is said to be -saturated if where Given a subset the -saturated hull of is the smallest -saturated subset of that contains If is a collection of subsets of then If is a collection of subsets of and if is a subset of then is a fundamental subfamily of if every is contained as a subset of some element of If is a family of subsets of a TVS then a cone in is called a -cone if is a fundamental subfamily of and is a strict -cone if is a fundamental subfamily of -saturated sets play an important role in the theory of ordered topological vector spaces and topological vector lattices. (en)
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