2 papers
math.AT2026
Unbounded Weight Structures: (Re)construction and Completion
Thomas Nikolaus, Phil Pützstück
We develop a theory of completeness for weight structures on stable categories, dual to the theory of complete -structures. As in the bounded case, we show that complete weight…
math.AT2017
On topological cyclic homology
Thomas Nikolaus, Peter Scholze
Topological cyclic homology is a refinement of Connes--Tsygan's cyclic homology which was introduced by Bökstedt--Hsiang--Madsen in 1993 as an approximation to algebraic -theory…