2017/11/08 by Yi-Sheng Wang, Wang, Yi-Sheng
Mathematics · #55P47 #55R35 #55R37 #Algebraic Topology (math.AT) #FOS: Mathematics #math.AT #msc:55P47 #msc:55R35 #msc:55R37
paper · pdf · doi:10.48550/arxiv.1711.03059
44 pages
arxiv created 2017/11/08 · arxiv updated 2017/11/09
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 K-theory spectrum.