nLab Kenneth Brown

Not to be confused with algebraist Ken A. Brown.

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Kenneth Stephen Brown is a mathematician at Cornell University specialized in topology and algebra.

• webpage

• departmental webpage

Selected writings

Introducing categories of fibrant objects for discussion of homotopy categories of simplicial presheaves (in hindsight: $(\infty,1)$-toposes):

• K. Brown, Abstract homotopy theory and generalized sheaf cohomology, Transactions of the American Mathematical Society 186 (1973) 419-458 $[$jstor:1996573$]$

On algebraic K-theory and the Brown-Gersten property:

• Kenneth S. Brown, Stephen Gersten, Algebraic K-theory as generalized sheaf cohomology, Algebraic K-theory, I: Higher K-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972), pp. 266-292. Lecture Notes in Math. 341 Springer (1973) [doi:10.1007/BFb0067062]

On group cohomology:

• Kenneth Brown, Cohomology of Groups, Graduate Texts in Mathematics, 87, Springer 1982 (doi:10.1007/978-1-4684-9327-6)

On buildings:

• K. Brown, Buildings: Theory and applications (with Peter Abramenko). Graduate Texts in Mathematics, 248, Springer, 2008.

category: people