The closed graph theorem is the open mapping theorem

2019/12/03 by R.S. Monahan, Monahan, R. S., P. L. Robinson +1
Mathematics · Computer Science · #Advanced Topology and Set Theory #Homotopy and Cohomology in Algebraic Topology #Advanced Graph Theory Research

paper · pdf · doi:10.48550/arxiv.1912.02626

Abstract

We extend the closed graph theorem and the open mapping theorem to a context in which a natural duality interchanges their extensions.

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