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# absolute retract

A topological space $X$ is an *absolute retract* if, for every embedding of $X$ as a closed subset of a normal space $Y$, the image of $X$ is a retract of $Y$.

A topological space $X$ is an *absolute neighborhood retract* if, for every embedding of $X$ as a closed subset of a normal space $Y$, the image of $X$ is a neighborhood retract of $Y$.

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absolute neighborhood retract

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Definition

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## Mathematics Subject Classification

54A99*no label found*

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