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replaced deprecated tag 'topology'; rewording and reformatting (taking advantage of new answer bumping question to front page)

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edited Mar 7, 2014 at 21:01

( HomotopyHomotopy) Y ENR and contractible subset =>implies Y is a retract

I'm trying to solve the following question:

YSuppose $\subset R^n$$Y \subset R^n$ is a euclidianEuclidean neighborhood retract.

I want to prove that if $Y$ is contractible, then it is a rectractretract of $R^n.$$R^n$.

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asked Jan 20, 2013 at 4:35

I'm trying to solve the following question:

Y $\subset R^n$ is a euclidian neighborhood retract.

I want to prove that if $Y$ is contractible it is a rectract of $R^n.$