6 papers · 1 filter
Moduli spaces of homotopy theory
David Blanc
The moduli spaces refered to are topological spaces whose path components parametrize homotopy types. Such objects have been studied in two separate contexts: rational homotopy typ…
Homotopy operations and rational homotopy type
David Blanc
We describe a collection of higher homotopy operations which determine the rational homotopy type of a simply-connected space X. These are described in terms of simplicial resoluti…
Higher Homotopy Operations
David Blanc, Martin Markl
We provide a general definition of higher homotopy operations, encompassing most known cases, including higher Massey and Whitehead products, and long Toda brackets. These operatio…
CW simplicial resolutions of spaces, with an application to loop spaces
David Blanc
We show how a certain type of CW simplicial resolutions of space by wedges of spheres may be constructed for any topological space, and how such resolutions yield an obstruction th…
Realizing coalgebras over the Steenrod algebra
David Blanc
We describe algebraic obstruction theories for realizing an abstract coalgebra K_* over the mod p Steenrod algebra as the homology of a topological space, and for distinguishing be…
Loop spaces and homotopy operations
David Blanc
The question of whether a given H-space X is, up to homotopy, a loop space has been studied from a variety of viewpoints. Here we address this question from the aspect of homotopy…