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Fine structure of the homomorphisms of the lattice of uniformly continuous functions on the line

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Abstract

We provide a representation of the homomorphisms \(U\longrightarrow {\mathbb {R}}\), where U is the lattice of all uniformly continuous functions on the line The resulting picture is sharp enough to describe the fine topological structure of the space of such homomorphisms.

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Authors and Affiliations

  1. Departamento de Matemáticas, UEx and IMUEx, 06071, Badajoz, Spain

    Félix Cabello Sánchez

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  1. Félix Cabello Sánchez
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Correspondence to Félix Cabello Sánchez.

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Supported in part by DGICYT project MTM20167-6958-C2-1-P (Spain) and Consejería de Educación y Empleo, Junta de Extremadura programs GR-15152 and IB-16056.

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Cabello Sánchez, F. Fine structure of the homomorphisms of the lattice of uniformly continuous functions on the line. Positivity 24, 415–426 (2020). https://doi.org/10.1007/s11117-019-00686-0

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