15 citations · 23 across the 9 of their papers we have counts for
10 papers
Higher homotopy invariants for spaces and maps
David Blanc, Mark W. Johnson, James M. Turner
For a pointed topological space , we use an inductive construction of a simplicial resolution of by wedges of spheres to construct a "higher homotopy structure" for (in…
A constructive approach to higher homotopy operations
David Blanc, Mark W. Johnson, James M. Turner
In this paper we provide an explicit general construction of higher homotopy operations in model categories, which include classical examples such as (long) Toda brackets and (iter…
Higher homotopy operations and André-Quillen cohomology
David Blanc, Mark W. Johnson, James M. Turner
There are two main approaches to the problem of realizing a -algebra (a graded group equipped with an action of the primary homotopy operations) as the homotopy groups of a…
Higher homotopy operations and cohomology
David Blanc, Mark W. Johnson, James M. Turner
We explain how higher homotopy operations, defined topologically, may be identified under mild assumptions with (the last of) the Dwyer-Kan-Smith cohomological obstructions to rect…
On local-to-global spectral sequences for the cohomology of diagrams
David Blanc, Mark W. Johnson, James M. Turner
The aim of this paper is to construct and examine three candidates for local-to-global spectral sequences for the cohomology of diagrams of algebras with directed indexing. In each…
On realizing diagrams of Pi-algebras
David Blanc, Mark W Johnson, James M Turner
Given a diagram of Pi-algebras (graded groups equipped with an action of the primary homotopy operations), we ask whether it can be realized as the homotopy groups of a diagram of…