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.^[1]^[2] It is used in calculating the homotopy properties of a simplicial group.

References

↑ Srinivas, Vasudevan (2013). Algebraic K-Theory. Springer Science & Business Media. ISBN 9781489967350.
↑ Friedlander, Eric; Grayson, Daniel R. (2005). Handbook of K-Theory. Springer Science & Business Media. ISBN 9783540230199.

Quillen, Daniel (1973). "Higher algebraic K-theory: I". Springer-Verlag. pp. 85–147.
Brown, Kenneth S.; Gersten, Stephen M. (1973). "Algebraic K-theory as generalized sheaf cohomology". 341. Berlin: Springer. pp. 266–292.

External links

A spectral sequence of Quillen at the Stacks Project

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[1] Srinivas, Vasudevan (2013). Algebraic K-Theory. Springer Science & Business Media. ISBN 9781489967350.

[2] Friedlander, Eric; Grayson, Daniel R. (2005). Handbook of K-Theory. Springer Science & Business Media. ISBN 9783540230199.