What are...limits?

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Goal.
Explaining basic concepts of category theory in an intuitive way.

This time.
What are...limits? Or: Universal diagrams.

Disclaimer.
Nobody is perfect, and I might have said something silly. If there is any doubt, then please check the references.

Disclaimer.
The distinction between “large classes” and “small classes (sets)” turns out is crucial for many categorical considerations, but somehow makes the language more cumbersome without too much gain imho. So I will strategically ignore all set-theoretical issues.

Slides.

Website with exercises.

I used this amazing blog for the exposition of this video.

Limit.

Diagram.

Universal properties.

Examples.

Pictures used.

Some books I am using (I sometimes steal some pictures from there).

Nlab.

TheCatsters.

Mathematica.

#categorytheory
#categoricalalgebra
#mathematics
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What an amazing video! I'm studying category theory for the first time and it is so hard to find intuitive notions behind the definitions but this video made limits more understandable and less scary.

julianacunha
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it's been 2 years but thank you for making this, was really helpful

jjer