Faithfulness of a functor of Quillen (2009)
Dwyer, William G., Radulescu-Banu, Andrei, Thomas, Sebastian
There exists a canonical functor from the category of fibrant objects of a model category modulo cylinder homotopy to its homotopy category. We show that this functor is faithful under certain...
The Homotopic Uniqueness of BS 3 (2009)
William G. Dwyer, Haynes R. Miller, Clarence W. Wilkerson
Let p be a fixed prime number, Fp the field with p elements, and S 3 the unit
Obstruction theory in model categories (2008)
J. Daniel Christensen, William G. Dwyer
Many examples of obstruction theory can be formulated as the study of when a lift exists in a commutative square. Typically, one of the maps is a cofibration of some sort and the opposite map is a...
Obstruction theory in model categories (2008)
J. Daniel Christensen, William G. Dwyer, C. Isaksen
Abstract. Many examples of obstruction theory can be formulated as the study of when a lift exists in a commutative square. Typically, one of the maps is a cofibration of some sort and the opposite...
Obstruction theory in model categories (2007)
J. Daniel Christensen, William G. Dwyer, C. Isaksen
Abstract. Working in an arbitrary pointed proper model category, we describe the cobrations that have an obstruction theory with respect to all brations. Up to weak equivalence, retract, and cobase...
Homotopy nilpotent groups (2007)
Biedermann, Georg, Dwyer, William G.
We study the connection between the Goodwillie tower of the identity and the lower central series of the loop group on connected spaces. We define the simplicial theory of homotopy n-nilpotent...
Homotopy theory of small diagrams over large categories (2006)
Chorny, Boris, Dwyer, William G.
Let $D$ be a large category which is cocomplete. We construct a model structure (in the sense of Quillen) on the category of small functors from $D$ to simplicial sets. As an application we construct...
Obstruction Theory in Model Categories (2001)
Christensen, J. Daniel, Dwyer, William G., Isaksen, Daniel C.
Many examples of obstruction theory can be formulated as the study of when a lift exists in a commutative square. Typically, one of the maps is a cofibration of some sort and the opposite map is a...
Homology isomorphisms between algebraic groups made discrete (1993)
William G. Dwyer, Solomon M. Jekel, Alexander I. Suciu
Consider a split exact sequence of discrete groups $$\{1\}\rightarrow G \rightarrow \varGamma\overset\pi\to{\underset\sigma \to\rightleftarrows} \varGamma/G \rightarrow \{1\}.$$ Suppose there exists...
Homology isomorphisms between algebraic groups made discrete (1993)
William G. Dwyer, Solomon M. Jekel, Alexander I. Suciu
Consider a split exact sequence of discrete groups $$\{1\}\rightarrow G \rightarrow \varGamma\overset\pi\to{\underset\sigma \to\rightleftarrows} \varGamma/G \rightarrow \{1\}.$$ Suppose there exists...
Homology isomorphisms between algebraic groups made discrete (1993)
William G. Dwyer, Solomon M. Jekel, Alexander I. Suciu
Consider a split exact sequence of discrete groups $$\{1\}\rightarrow G \rightarrow \varGamma\overset\pi\to{\underset\sigma \to\rightleftarrows} \varGamma/G \rightarrow \{1\}.$$ Suppose there exists...
THEOREM 1. Consider a split exact sequence of discrete groups (1991)
William G. Dwyer, Solomon M. Jekel, I. Suciu, G G >g, William G. Dwyer, ...
Suppose there exists a normal series
Spaces of Null Homotopic Maps (1989)
William G. Dwyer, Clarence W. Wilkerson
. We study the null component of the space of pointed maps from Bß to X when ß is a locally finite group, and other components of the mapping space when ß is elementary abelian. Results about the...
William G. Dwyer, Clarence W. Wilkerson
Introduction In the late 1930's, P. A. Smith began the investigation of the cohomological properties of a group G of prime order p acting by homeomorphisms on a topological space X. This thread...