# Absolute retract for normal spaces

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A topological space such that every mapping of any closed subset of an arbitrary normal space can be extended to the entire space . A direct product of absolute retracts for normal spaces is an absolute retract for normal spaces, as is any retract (cf. Retract of a topological space) of an absolute retract for normal spaces. In particular, the following spaces are absolute retracts for normal spaces: the unit interval ; the -dimensional cube ; and the Hilbert cube . Any two mappings of a binormal space into an absolute retract for normal spaces are homotopic; while a binormal absolute retract for normal spaces is contractible into a point.