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math.AT2009★ 32 cited
On homotopy invariance for algebras over colored PROPs
Mark W. Johnson, Donald Yau
Over a monoidal model category, under some mild assumptions, we equip the categories of colored PROPs and their algebras with projective model category structures. A Boardman-Vogt…
math.AT2009★ 1 cited
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…
math.AT2008
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…