Categories of vector spaces and Grassmannians
Algebraic Topology
2017-11-09 v1
Abstract
We construct a new category of vector spaces which contains both the standard category of vector spaces and Grassmannians. Its space of objects classifies vector bundles, its space of morphisms classifies bundle isomorphisms, and it can be delooped to obtain the topological -theory spectrum.
Cite
@article{arxiv.1711.03059,
title = {Categories of vector spaces and Grassmannians},
author = {Yi-Sheng Wang},
journal= {arXiv preprint arXiv:1711.03059},
year = {2017}
}
Comments
44 pages