7 citations · 9 across the 2 of their papers we have counts for
4 papers · 1 filter
Context for models of concurrency
Peter Bubenik
Many categories have been used to model concurrency. Using any of these, the challenge is to reduce a given model to a smaller representation which nevertheless preserves the relev…
Cell attachments and the homology of loop spaces and differential graded algebras
Peter Bubenik
The cell-attachment problem, perhaps first studied by J.H.C. Whitehead around 1940, asks one to describe the effect of attaching one or more cells, on the algebraic invariants of a…
Separated Lie models and the homotopy Lie algebra
Peter Bubenik
A simply connected topological space X has homotopy Lie algebra $π_*(ΩX) \tensor \Q$. Following Quillen, there is a connected differential graded free Lie algebra (dgL) called a Li…
Closed Model Categories for Presheaves of Simplicial Groupoids and Presheaves of 2-Groupoids
Zhi-Ming Luo, Peter Bubenik, Peter T. Kim
It is shown that the category of presheaves of simplicial groupoids and the category of presheaves of 2-groupoids have Quillen closed model structures. Furthermore, their homotopy…