Metric properties of positively ordered monoids
نویسندگان
چکیده
منابع مشابه
Injective positively ordered monoids I
We define in this paper a certain notion of completeness for a wide class of commutative (pre)ordered monoids (from now on P.O.M.’s). This class seems to be the natural context for studying structures like measurable function spaces, equidecomposability types of spaces, partially ordered abelian groups and cardinal algebras. Then, we can prove that roughly speaking, spaces of measures with valu...
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We continue in this paper the study of positively ordered monoids (P.O.M.’s) initiated in [39]. We prove that injective P.O.M.’s are the retracts of the powers of P=[0, ∞]. We also characterize the natural P.O.M.homomorphism from a given refinement P.O.M to its bidual, with e.g. applications to decomposition spaces. As another application, we prove that a refinement P.O.M admits a ‘Banach limit...
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ژورنال
عنوان ژورنال: Forum Mathematicum
سال: 1993
ISSN: 0933-7741,1435-5337
DOI: 10.1515/form.1993.5.183