7 citations
5 papers · 1 filter
On C.T.C. Wall's suspension theorem
Mokhtar Aouina, John R. Klein
Almost forty years ago, C.T.C. Wall systematically analyzed the set of "thickenings" of a finite CW complex. Of the results he obtained, probably the most computationally important…
Completions of pro-spaces
Daniel C. Isaksen
For every ring R, we present a pair of model structures on the category of pro-spaces. In the first, the weak equivalences are detected by cohomology with coefficients in R. In the…
Higher string topology on general spaces
P. Hu
In this paper, I give a generalized analogue of the string topology results of Chas and Sullivan, and of Cohen and Jones. For a finite simplicial complex and , I cons…
On embeddings in the sphere
John R. Klein
We consider embeddings of a finite complex in a sphere. We give a homotopy theoretic classification of such embeddings in a wide range.
On Kontsevich's Hochschild cohomology conjecture
P. Hu, I. Kriz, A. A. Voronov
Let an n-algebra mean an algebra over the chain complex of the little n-cubes operad. We give a proof of Kontsevich's conjecture, which states that for a suitable notion of Hochsch…