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@@ -14,4 +14,10 @@ Classifying two dimensional surfaces.
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## Quotient spaces
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Let $X$ be a topological space and $f:X\to Y$ is a continuous, surjective map. WIth the property that $U\subset Y$ is open if and only if $f^{-1}(U)$ is open in $X$, we say $f$ is a quotient map and $Y$ is a quotient space.
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Let $X$ be a topological space and $f:X\to Y$ is a
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1. continuous
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2. surjective map.
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3. With the property that $U\subset Y$ is open if and only if $f^{-1}(U)$ is open in $X$.
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Then we say $f$ is a quotient map and $Y$ is a quotient space.
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