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Bartosz Milewski 2018-09-19 04:48:14 -07:00
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src/content/3.10/Ends and Coends.tex
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@ -391,7 +391,7 @@ following equivalence relation:
\[(a, b) \sim (c, d)\ \text{iff}\ a * d = b * c\]
It's easy to check that this is an equivalence relation. A pair
$(a, b)$ is interpreted as a fraction $\frac{a}{b}$, and
fractions that have a common divisor are identified. A rational number
fractions whose numerator and denominator have a common divisor are identified. A rational number
is an equivalence class of such fractions.
You might recall from our earlier discussion of limits and colimits that