Abstract
Let W be the category of archimedean ℓ-groups with weak unit. The usual Yosida representation of G ∈ W is one of the many embeddings of G into a D(X) taking the unit to the constant function 1, but the only one with G separating the points of X. It has the further pleasure of being contravariantly functorial from W to compact Hausdorff spaces. We label this as G→ Ĝ ⊆ D(YG), and the functor as W →Y Comp. (The situation is described more fully in the next section.)
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© 1989 Kluwer Academic Publishers
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Ball, R.N., Hager, A.W. (1989). Applications of Spaces with Filters to Archimedean ℓ-Groups with Weak Unit. In: Martinez, J. (eds) Ordered Algebraic Structures. Mathematics and Its Applications, vol 55. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2472-7_8
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DOI: https://doi.org/10.1007/978-94-009-2472-7_8
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