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Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras

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 …
Sean Tilson's user avatar
  • 3,726
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 …
Sean Tilson's user avatar
  • 3,726