Injective positively ordered monoids II
نویسنده
چکیده
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’ if and only if it embeds into a
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