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Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
10
votes
Is there a categorification of topological K-theory?
Maybe I am missing something, but is there a reason no one has mentioned the work on 2-vector spaces. One place to start is http://hopf.math.purdue.edu//Baas-Dundas-Rognes/segal60.pdf . They state a c …
3
votes
My first question - on Affine Schemes in Algebraic Geometry
Maybe you will be interested in the thesis of Mel Hochster. He characterizes the image of Spec in Top. The article based on it is called Prime Ideal Structures in Commutative Rings and appeared in the …
1
vote
What does Rng^{op} look like?
There is a natural algebraic structure on homology that is dual to the algebra structure on cohomology. It is gotten the same way you get the cup product: use the Kunneth theorem and the diagonal to g …
2
votes
History of classifying spaces
I can not pull up the references (mathscinet) from home, but I thought it was earlier. Maybe the type of classifying space you care about is a bit different though. The references I have in mind are E …
1
vote
If a colimit of distinguished triangles exists, is it also a distinguished triangle?
this is true in the topological setting. cofibrations can be thought of as colimits, they are actually colimits of a diagram (i have been told, but i cant recall the example) and colimits commute with …