TheCatsters
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Representables and Yoneda 3
Representables and Yoneda 2
Representables and Yoneda 1
 
Adjunctions 1
Adjunctions 2
Adjunctions 3
String diagrams 1
String diagrams 2
String diagrams 3
Terminal and initial objects 1
Profile
 
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Joined:
September 13, 2007
Last Sign In:
2 weeks ago
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Videos on various topics in category theory.

These are probably best viewed in full-screen mode.
Country:
United Kingdom
Recent Activity  
TheCatsters uploaded a new video (8 months ago)
Statement of Yoneda lemma and explanation of "why" it is true
 
 
TheCatsters uploaded a new video (8 months ago)
Further explanation of the Yoneda embedding (including calling it that, but not yet proving it's an embedding), checking naturality for H_f.
 
 
TheCatsters uploaded a new video (8 months ago)
Definition of representable functors and the Yoneda embedding (though without calling it the Yoneda embedding yet)
 
 
TheCatsters uploaded a new video (11 months ago)
Definition of comma categories D over and under F for a functor F, and F over and under G for functors F and G with the same target category
 
 
TheCatsters uploaded a new video (1 year ago)
Definition of slice categories C/X and X/C, products in C/X as pullbacks in C
 
Channel Comments (28)
prathapsv (2 weeks ago)
thank you so much, it helped me. I would be glad if you could make a video of Closed Cartesian categories with exponents and some examples. Thanks.
abc75 (3 weeks ago)
Good job! Interesting and well-presented.
simonterrington (1 month ago)
Hey Catsters

I certainly don't want to complain and very much appreciate the whole category theory-on-video venture. On my mission to watch all of the video, catalogue the concepts used and then place the videos in a partial ordering I have noticed that after Slice and Comma Categories 2 it all goes a bit quiet on the old Slice and Comma Category front. "I am probably not finding it (Slice and Comma 3). Even if it isn't there I don't know why we should EXPECT you to do it. It's not like we're paying you but, you know, you get into these things and questions arise.

Respect
davotecho (1 month ago)
=D
simonterrington (2 months ago)
I'm watching these videos one by one at the moment (this is a great pleasure). It strikes me that one can derive an order (in fact a partial order) based on the relation video A "requires content explained in" video A. Of course the playlist on limits is totally ordered on this basis (this doesn't help a great deal; suggesting you watch the playlists in order isn't a great pratical insight). If I am given some encouragement I MIGHT draw a little dependency diagram. I guess this would should the range of different orderings of the material that would be possible if you wanted ideas explained before they were used (admittedly a fairly weak condition but still...).
edwardkmett (4 months ago)
These videos are collectively the best thing on youtube.
ClothCanopy (5 months ago)
Lots of people see this, I am one of them, and go "Wow, this seems interesting!" But you have no introduction to what the value or function of this is in real life. Can you do a video so that you may introduce viewers to your awesome theory of categories, which is just brimming with potential?
Ormaaj (5 months ago)
Great Channel! Youtube needs more of this kind of free visual demonstration. I found you from the Haskell site, though some (a ton!) of this is (way) over my head, and i'm not sure where to get started.
tirrellj (5 months ago)
Excellent lectures! I have an exam on this stuff tomorrow, and I think these videos have finally helped me understand some of it.
AlexLRM (5 months ago)
Dear Catsters,

I'm learning (basic) category theory on my own.
Your lectures are a very welcome addition to the textbooks and other media I use to this end. :)
For instance the "fishes"-diagrams (whiskering) in the lecture on natural transformations,
and the string-diagrams, I found very illuminating!

Many thanks!

AlexLRM
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