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

3 votes
1 answer
228 views

Naturality of the nullhomotopies in Waldhausen's fibration theorem

Recall Waldhausen's fibration theorem, called 'localization theorem' in Thomason-Trobaugh: if $v\subset w\subset \mathcal C$ are categories of weak equivalences in a category with cofibrations $\mathc …
Bruno Stonek's user avatar
  • 3,004
5 votes
1 answer
489 views

Definition of a cylinder functor in Waldhausen's K-theory

In Waldhausen's Algebraic K-Theory of Spaces, he defines a cylinder functor on a category $\mathcal C$ with cofibrations and weak equivalences (henceforth called a Waldhausen category) as the followin …
Bruno Stonek's user avatar
  • 3,004