On closed graph theorems in topological spaces and groups

Marek Wilhelm

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Displaying similar documents to “On closed graph theorems in topological spaces and groups”

Relations among some closed graph and open mapping theorems

M. Wilhelm (1979)

Colloquium Mathematicae

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Spaces of ω-limit sets of graph maps

Jie-Hua Mai, Song Shao (2007)

Fundamenta Mathematicae

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Let (X,f) be a dynamical system. In general the set of all ω-limit sets of f is not closed in the hyperspace of closed subsets of X. In this paper we study the case when X is a graph, and show that the family of ω-limit sets of a graph map is closed with respect to the Hausdorff metric.