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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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Reference

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## Mathematics Subject Classification

54A99*no label found*

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new question: Prime numbers out of sequence by Rubens373

Oct 7

new question: Lorenz system by David Bankom

Oct 19

new correction: examples and OEIS sequences by fizzie

Oct 13

new correction: Define Galois correspondence by porton

Oct 7

new correction: Closure properties on languages: DCFL not closed under reversal by babou

new correction: DCFLs are not closed under reversal by petey

Oct 2

new correction: Many corrections by Smarandache

Sep 28

new question: how to contest an entry? by zorba

new question: simple question by parag