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On constructing the associated Graev topology - MaRDI portal

On constructing the associated Graev topology (Q752862)

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scientific article; zbMATH DE number 4179677
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English
On constructing the associated Graev topology
scientific article; zbMATH DE number 4179677

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    On constructing the associated Graev topology (English)
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    1990
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    Let (X,t) be a topological space, G a group and i: \(X\to G\) an inclusion mapping. The finest topology on G making i continuous is called the ``associated Graev topology'' on G. The construction of this topology for all spaces (X,t) and all inclusion mappings i: \(X\to G\) is described.
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    free topological group
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    topological space
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    associated Graev topology
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    inclusion mappings
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