Jason (jcreed) wrote,

Reading: "Multilinear Algebra" by Northcott, which is fantastic --- everything is clicking together; it's great to be able to see that tensor powers and exterior powers and symmetric powers are all really the same sort of phenomenon of internalizing respectively multilinear, alternating, and symmetric maps as linear maps --- and "Towards a Philosophy of Real Mathematics" (which I heard about from John Baez's home page) which is intriguing, though I haven't gotten through more than the introduction yet.

Writing: 3.2k more today, at 23,452. Diverging from the main storyline a bit --- somehow I have found myself leading up to a dialogue, which is essentially about category theory (though it hasn't got there quite yet) and morality.

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    A nice natural example of a bicategory (non-strict 2-category) I didn't know about before: Objects are sets. Morphisms from A to B are "state…

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    Read a bit about alexandrov topologies and chu spaces and stuff. Is there a good completion of the analogy preorder (i.e. alexandrov topology) :…

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    Interesting paper from Noam and Paul-André. The technical condition about cartesian morphisms in the definition of a fibration of categories…

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