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arXiv · 1711.03059

Categories of vector spaces and Grassmannians

Yi-Sheng Wang
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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 $K$-theory spectrum.

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Yi-Sheng Wang. 2017-11-08. Categories of vector spaces and Grassmannians. https://arxiv.org/abs/1711.03059

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