Quillen spectral sequence
In the area of mathematics known as K-theory, the Quillen spectral sequence, also called the Brown–Gersten–Quillen or BGQ spectral sequence (named after Kenneth Brown,
Stephen Gersten, and Daniel Quillen), is a spectral sequence converging to the sheaf cohomology of a type of topological space that occurs in algebraic geometry.{{cite book |last=Srinivas |first=Vasudevan |title=Algebraic K-Theory |publisher=Springer Science & Business Media |year=2013 |isbn=9781489967350 |authorlink=Vasudevan Srinivas}}{{cite book|last1=Friedlander |first1=Eric | authorlink1=Eric Friedlander|last2=Grayson |first2=Daniel R. |title=Handbook of K-Theory |publisher=Springer Science & Business Media |year=2005 |isbn=9783540230199}} It is used in calculating the homotopy properties of a simplicial group.
References
{{reflist}}
- {{cite conference |title=Higher algebraic K-theory: I |last1=Quillen |first1=Daniel |author-link1=Daniel Quillen |date=1973 |publisher=Springer-Verlag |book-title=Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 |pages=85–147 }}
- {{cite conference |book-title= Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972)|
last1=Brown|first1= Kenneth S.|authorlink1=Kenneth Brown (mathematician)|last2= Gersten|first2= Stephen M.|title=Algebraic K-theory as generalized sheaf cohomology|pages=266–292|series= Lecture Notes in Math.|volume= 341|publisher= Springer|location= Berlin|year= 1973| mr=0347943}}
External links
- [https://stacks.math.columbia.edu/tag/08RC A spectral sequence of Quillen] at the Stacks Project
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