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Results tagged with kt.k-theory-and-homology
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user 6249
Algebraic and topological K-theory, relations with topology, commutative algebra, and operator algebras
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 …
- 3,004
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 …
- 3,004