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Restricting open surjections

2018/03/23 by Jaramillo, Jesus A., Donne, Enrico Le, Rajala, Tapio
#54C65 #54E40 #FOS: Mathematics #Functional Analysis (math.FA) #General Topology (math.GN) #Metric Geometry (math.MG)

paper · doi:10.48550/arxiv.1803.08744

Abstract

We show that any continuous open surjection from a complete metric space to another metric space can be restricted to a surjection for which the domain has the same density character as the target. This improves a recent result of Aron, Jaramillo and Le Donne.

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