3 papers
math.AT2018
The functor of singular chains detects weak homotopy equivalences
Manuel Rivera, Felix Wierstra, Mahmoud Zeinalian
The normalized singular chains of a path connected pointed space may be considered as a connected -coalgebra with the property that the $0^{\text{…
math.AT2018
Singular chains and the fundamental group
Manuel Rivera, Mahmoud Zeinalian
We show that the natural algebraic structure of the singular chains on a path connected topological space determines the fundamental group functorially. Moreover, we describe a not…
math.AT2018
The colimit of an -local system as a twisted tensor product
Manuel Rivera, Mahmoud Zeinalian
We describe several equivalent models for the infinity-category of infinity-local systems of chain complexes over a space using the framework of quasi-categories. We prove that the…