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neighborhood retract (Definition)

Let $ X$ be a topological space and $ Y$ a subspace of $ X$. If there exists an open set $ U$ such that $ Y \subset U \subset X$ and $ Y$ is a retract of $ U$, then we say $ Y$ is a neighborhood retract of $ X$.



"neighborhood retract" is owned by rspuzio.
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Cross-references: retract, open set, subspace, topological space
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This is version 2 of neighborhood retract, born on 2004-09-30, modified 2006-01-06.
Object id is 6255, canonical name is NeighborhoodRetract.
Accessed 1591 times total.

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