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Homomorphisms of the lattice of slowly oscillating functions on the half-line

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Homomorphisms of the lattice of slowly oscillating functions on the half-line

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dc.contributor.author Iwamoto, Yutaka es_ES
dc.date.accessioned 2024-04-26T11:14:52Z
dc.date.available 2024-04-26T11:14:52Z
dc.date.issued 2024-04-02
dc.identifier.issn 1576-9402
dc.identifier.uri http://hdl.handle.net/10251/203783
dc.description.abstract [EN] We study the space H(SO) of all homomorphisms of the vector lattice of all slowly oscillating functions on the half-line ℍ = [ 0 , ∞ ) . In contrast to the case of homomorphisms of uniformly continuous functions, it is shown that a homomorphism in H(SO) which maps the unit to zero must be zero-homomorphism. Consequently, we show that the space H(SO) without zero-homomorphism is homeomorphic to ℍ x (0, ∞). By describing a neighborhood base of zero-homomorphism, we show that H(SO) is homeomorphic to the space ℍ x (0, ∞) with one point added. es_ES
dc.language Inglés es_ES
dc.publisher Universitat Politècnica de València es_ES
dc.relation.ispartof Applied General Topology es_ES
dc.rights Reconocimiento - No comercial - Compartir igual (by-nc-sa) es_ES
dc.subject Slowly oscillating functions es_ES
dc.subject Uniformly continuous functions es_ES
dc.subject Lattice homomorphisms es_ES
dc.subject Higson compactification es_ES
dc.subject Samuel-Smirnov compactification es_ES
dc.title Homomorphisms of the lattice of slowly oscillating functions on the half-line es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.4995/agt.2024.20267
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Iwamoto, Y. (2024). Homomorphisms of the lattice of slowly oscillating functions on the half-line. Applied General Topology. 25(1):57-70. https://doi.org/10.4995/agt.2024.20267 es_ES
dc.description.accrualMethod OJS es_ES
dc.relation.publisherversion https://doi.org/10.4995/agt.2024.20267 es_ES
dc.description.upvformatpinicio 57 es_ES
dc.description.upvformatpfin 70 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 25 es_ES
dc.description.issue 1 es_ES
dc.identifier.eissn 1989-4147
dc.relation.pasarela OJS\20267 es_ES


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