Minimal Finite Models
Algebraic Topology
2007-05-23 v1
Abstract
We characterize the smallest finite spaces with the same homotopy groups of the spheres. Similarly, we describe the minimal finite models of any finite graph. We also develop new combinatorial techniques based on finite spaces to study classical invariants of general topological spaces.
Cite
@article{arxiv.math/0611156,
title = {Minimal Finite Models},
author = {Jonathan Ariel Barmak and Elias Gabriel Minian},
journal= {arXiv preprint arXiv:math/0611156},
year = {2007}
}
Comments
13 pages