Archive for September 17th, 2007

Grothendieck Topologies

Topology. It’s something that every math student has to become comfortable with. First you get to learn metric topology (usually on \mathbb{R}^1), followed by point set topology. Then in graduate school, pretty much everyone gets an introduction to algebraic topology. However, it all really just studies sets with distinguished collections of subsets. There is, however, a more general version of topology, in fact, a way to put a topology onto a category due to, of course, Grothendieck.

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9 comments September 17, 2007

About this blog

I'm a grad student in math and I've just finished my first year at the University of Pennsylvania. I started this blog with collaborators who eventually realized that they don't have time, so this is where I'm going to post random cool things I learn, as well as series of posts explaining things when I need to make sure I understand them. The current project is getting me through my orals in the Fall.

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