1 citations · 2 across the 8 of their papers we have counts for
10 papers
Enriched Differential Lie Algebras in Topology
Yves Félix, Steve Halperin
This paper introduces a new category, Edgl, of enriched differential graded Lie algebras (edgl), directly related to the topology of all connected CW complexes and simplicial sets.…
Enriched Lie algebras in topology, I
Yves Felix, Steve Halperin
The complete enriched Lie algebras constitue the natural extension of graded Lie algebras for connected spaces. Each complete enriched Lie algebra is the rational homotopy Lie alge…
Aspherical completions and rationally inert elements
Yves Felix, Steve Halperin
Let be a connected space. An element is called rationally inert if is surjective. We extend t…
Sullivan completions
Yves Felix, Steve Halperin
The Sullivan construction associates to each path connected space or connected simplicial set, , a special cdga, its minimal model , and to each such cdga …
The depth of a Riemann surface and of a right-angled Artin group
Yves Felix, Steve Halperin
We consider two families of spaces, : the closed orientable Riemann surfaces of genus and the classifying spaces of right-angled Artin groups. In both cases we compare th…
A note on Gorenstein spaces
Yves Felix, Steve Halperin
Associated with an augmented differential graded algebra is a homotopy invariant . This is a graded vector space, and if is the ground fie…