Maps of simplicial spectra whose realizations are cofibrations
Abstract
Given a map of simplicial topological spaces, mild conditions on degeneracies and the levelwise maps imply that the geometric realization of the simplicial map is a cofibration. These conditions are not formal consequences of model category theory, but depend on properties of spaces, and similar results have not been available for any model for the stable homotopy category. In this paper we prove such results for symmetric spectra. Consequently, we get a set of conditions which ensure that the geometric realization of a map of simplicial symmetric spectra is a cofibration. These conditions are very user-friendly in that they are simple, often easily checked, and do not require computation of a latching object or any other knowledge of Reedy theory.
Cite
@article{arxiv.1611.06215,
title = {Maps of simplicial spectra whose realizations are cofibrations},
author = {Gabe Angelini-Knoll and Andrew Salch},
journal= {arXiv preprint arXiv:1611.06215},
year = {2018}
}
Comments
14 pages. Simplified exposition and proofs