closed map


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closed map

[¦klōzd ′map]
(mathematics)
A function between two topological spaces which sends each closed set of one into a closed set of the other.
References in periodicals archive ?
Theorem 1: Every homeomorphism is a pre [alpha] g* closed map.
Definition 1: A map f:X[right arrow]Y is called a pre [alpha] g* closed map if f(A) is [alpha] g* closed in Y whenever A is [alpha] g* closed in X.
Balachandran: Semi-generalised closed maps and generalised semi-closed maps, Mem.
Balachandran, Semi-generalized closed maps and Generalized semi- closed maps, Mem.
Let S be the semigroup of all closed maps like f : X [right arrow] X, under composition of maps: