Absolutely homotopy-cartesian squares
Algebraic Topology
2013-04-08 v1 Category Theory
Abstract
We call a diagram D absolutely cartesian if F(D) is homotopy cartesian for all homotopy functors F. This is a sensible notion for diagrams in categories C where Goodwillie's calculus of functors may be set up for functors with domain C. We prove a classification theorem for absolutely cartesian squares of spaces and state a conjecture of the classification for higher dimensional cubes.
Cite
@article{arxiv.1304.1662,
title = {Absolutely homotopy-cartesian squares},
author = {Rosona Eldred},
journal= {arXiv preprint arXiv:1304.1662},
year = {2013}
}
Comments
8 pages, accepted to the Arolla Conference Proceedings