S-construction
Appearance
In mathematics, specifically in algebraic K-theory, the Waldhausen S-construction produces from a Waldhausen category C a sequence of Kan complexes , which forms a spectrum. Let denote the loop space of the geometric realization of . Then the group
is the n-th K-group of C. Thus, it gives a way to define higher K-groups. Another approach for higher K-theory is Quillen's Q-construction.
The construction is due to Friedhelm Waldhausen.
See also
References
- F. Waldhausen, Algebraic K-theory of spaces, Alg. and Geo. Top., Springer Lect. Notes Math. 1126 (1985), 318–419, pdf.
- Lurie, J., Higher K-Theory of ∞-Categories (Lecture 16)
External links