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Ultimately increasing functions

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Ultimately increasing functions

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Beer, G.; Rodríguez López, J. (2010). Ultimately increasing functions. Real analysis Exchange. 36(1):195-212. http://hdl.handle.net/10251/60658

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Title: Ultimately increasing functions
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
A function gg between directed sets ⟨Σ,⪰′⟩⟨Σ,⪰′⟩ and ⟨Λ,⪰⟩⟨Λ,⪰⟩ is called \emph{ultimately increasing} if for each σ1∈Σσ1∈Σ there exists σ2⪰′σ1σ2⪰′σ1 such that σ⪰′σ2⇒g(σ)⪰g(σ1)σ⪰′σ2⇒g(σ)⪰g(σ1). A subnet of a net aa defined ...[+]
Subjects: Ultimately increasing function , Monotone convergence theorem , In- creasing function , Subnet , Directed set , Chain , Order topology
Copyrigths: Cerrado
Source:
Real analysis Exchange. (issn: 0147-1937 )
Publisher:
Michigan State University Press
Publisher version: https://projecteuclid.org/all/euclid.rae
Type: Artículo

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