Posted by Martin Orr on
Wednesday, 02 September 2009 at 22:51
In this article, I will examine in more detail the functor of points of an affine variety,
which I defined in the last article.
I shall show that this functor is the same as a Hom-functor on the category of 
-algebras,
and that morphisms of varieties correspond to natural transformations of functors.
Tags
alg-geom, maths, points-func, yoneda
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Posted by Martin Orr on
Saturday, 16 May 2009 at 19:54
In my last post on the Yoneda lemma for groups, I ignored the naturality part of the lemma. I want to work in detail what this means once - it is a lot of fiddly composing of morphisms and I probably won't do it again (at least in public). If you're not in the mood for following such details, then there is little point in reading this, although you could skip to the last paragraph.
Tags
categories, groups, maths, yoneda
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Posted by Martin Orr on
Sunday, 10 May 2009 at 16:07
When I wrote my first post on Cayley's theorem, I noticed that Wikipedia claims that the Yoneda lemma is "a vast generalisation of Cayley's theorem". In this post I will try to understand why, and end up concluding that this is probably false.
Tags
categories, groups, maths, yoneda
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