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". Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972. Springer-Verlag. pp. 85–147.
- Brown, Kenneth S.; Gersten, Stephen M. (1973). "Algebraic K-theory as generalized sheaf cohomology". Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972). Lecture Notes in Math. Vol. 341. Berlin: Springer. pp. 266–292. MR 0347943.
External links
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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". Algebraic K-Theory I. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972. Springer-Verlag. pp. 85–147.
- Brown, Kenneth S.; Gersten, Stephen M. (1973). "Algebraic K-theory as generalized sheaf cohomology". Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972). Lecture Notes in Math. Vol. 341. Berlin: Springer. pp. 266–292. MR 0347943.
External links
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