Restricting open surjections

Enrico Le Donne; Jesus A. Jaramillo; Tapio Rajala

arxiv: 1803.08744 · v1 · pith:VCCBCT2Wnew · submitted 2018-03-23 · 🧮 math.FA · math.GN· math.MG

Restricting open surjections

Jesus A. Jaramillo , Enrico Le Donne , Tapio Rajala This is my paper

classification 🧮 math.FA math.GNmath.MG

keywords metricopenspacesurjectionanotheraroncharactercomplete

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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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Restricting open surjections

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