On constructing the associated Graev topology (Q752862)

From MaRDI portal





scientific article; zbMATH DE number 4179677
Language Label Description Also known as
English
On constructing the associated Graev topology
scientific article; zbMATH DE number 4179677

    Statements

    On constructing the associated Graev topology (English)
    0 references
    1990
    0 references
    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.
    0 references
    free topological group
    0 references
    topological space
    0 references
    associated Graev topology
    0 references
    inclusion mappings
    0 references
    0 references
    0 references

    Identifiers