12 citations · 12 across the 2 of their papers we have counts for
4 papers
Co-rings over operads characterize morphisms
Kathryn Hess, Paul-Eugene Parent, Jonathan Scott
Let M be a bicomplete, closed symmetric monoidal category. Let P be an operad in M, i.e., a monoid in the category of symmetric sequences of objects in M, with its composition mono…
E-infinity Cell Models for Free and Based Loop Space Cohomology
David Chataur, Jonathan A. Scott
We construct E-infinity cell algebra models for the cochain algebras of the free and based loop spaces on a simply-connected topological space. Techniques from rational homotopy th…
A Torsion-Free Milnor-Moore Theorem
Jonathan A. Scott
Let ΩX be the space of Moore loops on a finite, q-connected, n-dimensional CW complex X, and let R be a subring of Q containing 1/2. Let p(R) be the least non-invertible prime in R…
Algebraic structure of the loop space Bockstein spectral sequence
Jonathan A. Scott
Let X be a finite, n-dimensional, r-connected CW complex. We prove the following theorem: If p \geq n/r is an odd prime, then the loop space homology Bockstein spectral sequence mo…