Locally closed sets and LC-continuous functions.
Ganster, M., Reilly, I.L. (1989)
International Journal of Mathematics and Mathematical Sciences
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Displaying similar documents to “A note on characterizations of compactness.”
Locally closed sets and LC-continuous functions.
Compact unions of closed subsets are closed and compact intersections of open subsets are open
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-continuous functions.
Konstadilaki-Savvopoulou, Ch., Janković, D. (1992)
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Baker, C.W. (1998)
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A selection theorem for open-graph multifunctions
Roger Bielawski (1989)
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Walter Taylor (1969)
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The fundamental group of a locally finite graph with ends-a hyperfinite approach
Isaac Goldbring, Alessandro Sisto (2016)
Fundamenta Mathematicae
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The end compactification |Γ| of a locally finite graph Γis the union of the graph and its ends, endowed with a suitable topology. We show that π₁(|Γ|) embeds into a nonstandard free group with hyperfinitely many generators, i.e. an ultraproduct of finitely generated free groups, and that the embedding we construct factors through an embedding into an inverse limit of free groups. We also show how to recover the standard description of π₁(|Γ|) given by Diestel and Sprüssel (2011). Finally,...