On Whitehead's theorem beyond pointed connected spaces
Algebraic Topology
2020-02-18 v2
Abstract
We prove that the 2-category of spaces admits a strong generator made up of the tori. In other words, Whitehead's theorem holds for the 2-category of (not necessarily connected, not pointed) spaces.
Cite
@article{arxiv.1802.04439,
title = {On Whitehead's theorem beyond pointed connected spaces},
author = {Kevin Arlin},
journal= {arXiv preprint arXiv:1802.04439},
year = {2020}
}
Comments
3 pages