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5 papers · 2 filters
Poincare submersions
John R. Klein
We prove two kinds of fibering theorems for maps X --> P, where X and P are Poincare spaces. The special case of P = S^1 yields a Poincare duality analogue of the fibering theorem…
Differentials in the homological homotopy fixed point spectral sequence
Robert R. Bruner, John Rognes
We analyze in homological terms the homotopy fixed point spectrum of a T-equivariant commutative S-algebra R. There is a homological homotopy fixed point spectral sequence with E^2…
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…
Duality and Pro-Spectra
J. Daniel Christensen, Daniel C. Isaksen
Cofiltered diagrams of spectra, also called pro-spectra, have arisen in diverse areas, and to date have been treated in an ad hoc manner. The purpose of this paper is to systematic…
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…