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absolute retract (Definition)

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 $ Z$.

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 $ Z$.



"absolute retract" is owned by rspuzio.
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Also defines:  absolute neighborhood retract
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Cross-references: neighborhood retract, retract, image, normal space, closed subset, embedding, topological space
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This is version 1 of absolute retract, born on 2004-09-29.
Object id is 6253, canonical name is AbsoluteRetract.
Accessed 2710 times total.

Classification:
AMS MSC: 54A99 (General topology :: Generalities :: Miscellaneous)
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