# nLab William Dwyer

William G. Dwyer is a mathematician at the University of Notre Dame.

## Selected articles

On the $G$-Borel model structure and its Quillen equivalence with the slice model structure over the simplicial classifying space $\overline W G$:

• William Dwyer, Daniel Kan, Simplicial localizations of categories , J. Pure Appl. Algebra 17 (1980), 267–284. (pdf)

• William Dwyer, Daniel Kan, Calculating simplicial localizations, J. Pure Appl. Algebra 18 (1980), 17–35. (pdf)

• William Dwyer, Daniel Kan, Function complexes in homotopical algebra, Topology 19 (1980), 427–440 (pdf)

• William Dwyer, Daniel Kan, Equivalences between homotopy theories of diagrams, Algebraic topologx and algebraic K-theory, (Princeton, N.J. 1983), Ann. of Math. Stud. 113, Princeton University Press, Princeton, N.J. 1987 .

On (enhancement and generalization of) Elmendorf's theorem in equivariant homotopy theory:

Introducing the Dwyer-Wilkerson H-space:

On derived functors such as homotopy limit-functors on model categories and more general homotopical categories:

• William Dwyer, Homotopy theory of classifying spaces, Lecture notes, Copenhagen 2008, (pdf, pdf)