category theory

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Welcome to the 'category theory' tag page at Technorati. This page features content from the farthest reaches of the Blogosphere that authors have "tagged" with 'category theory'.

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Latest blogosphere posts tagged “category theory”

  • Concretizable Categories


    memoirs on a rainy dayAuthority Authority: 142
    As some topological spaces can be metrizable , the same can be said of categories. Certain categories can be concretizable , if they are isomorphic to a concrete category. I must be making progress as I understood almost everything in that post from David Speyer. Posted in asides, mathematics Tagged: algebraic ...
    2 weeks ago
  • Concrete Categories


    Secret Blogging SeminarAuthority Authority: 526
    In many introductions to category theory, you first learn the notion of a concrete category: A concrete category is a collection of sets, called the objects of the category and, for each pair of objects, a subset of the maps . (There are, of course, axioms that these things must obey.) In a concrete category, the ...
    2 weeks ago
  • Germs & Sheaves


    memoirs on a rainy dayAuthority Authority: 142
    Hyperbolic triangle, via Wikipedia I I spent most of the day reading up on differentiable manifolds , Riemann surfaces , germs , and sheaves . Some of the concepts are extremely interesting since they tie into category theory. This led me to differential geometry . I supposed that differential geometry had ...
    2 weeks ago
  • Categorically Yours & Typographical Musings†


    memoirs on a rainy dayAuthority Authority: 142
    Okamis Lamy fountain pens I One of the marks of being a good prof is when they see that students didn’t understand something and go over it again. My algebra prof has made a habit of this, especially when he goes over stuff in class too quickly. This happened last week and left me quite furious . Someone must ...
    2 weeks ago
  • Mathematical Teaching Methods


    memoirs on a rainy dayAuthority Authority: 142
    Snake Lemma, via Wikipedia I It seems to me quite logical on how math classes should proceed. The professor presents some theory, with theorems and their demonstration, as well as definitions and propositions, before venturing into a slew of examples. For some reason, this is completely absent from my classes in ...
    4 weeks ago
  • Renormalization and Computation 4


    reperiendiAuthority Authority: 106
    This is the fourth in a series of posts on Yuri Manin’s pair of papers . In the previous posts, I laid out the background; this time I’ll actually get around to his result. A homomorphism from the Hopf algebra into a target algebra is called a character . The functor that assigns an action to a path, ...
    4 weeks ago

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