3 papers
math.AT2025
Cohomology of non-finite CL-shellable posets
Guille Carrión Santiago, Antonio Díaz Ramos
Shellable complexes are homotopy equivalent to a wedge of spheres of possibly different dimensions, so that the (co)homology of the constant functor over the complex is concentrate…
math.AT2025
The plus construction with respect to subrings of the rationals
Guille Carrión Santiago, Ramón Flores, Jérôme Scherer
We construct explicit models of universal -acyclic spaces , for any subset of the prime numbers. The corresponding nullification functors prov…
math.AT2024
A homotopical algebra approach to the computation of higher limits
Guille Carrión Santiago
We develop a new technique for computing higher limits of functors over filtered posets by constructing explicit fibrant replacements within a suitable model category structure. We…