Segal K-theory factors through Waldhausen categories
Abstract
We show that Segal's K-theory of symmetric monoidal categorizes can be factored through Waldhausen categories. In particular, given a symmetric monoidal category C, we produce a Waldhausen category (C) whose K-theory is weakly equivalent to the Segal K-theory of C. As a consequence, we show that every connective spectrum may be obtained via Waldhausen K-theory.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.