Hyperfield Grassmannians

James F. Davis; Laura Anderson

doi:10.1016/j.aim.2018.10.021

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arXiv · 1710.00016

Hyperfield Grassmannians

James F. Davis·Laura Anderson

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Abstract

In a recent paper Baker and Bowler introduced matroids over hyperfields, offering a common generalization of matroids, oriented matroids, and linear subspaces of based vector spaces. This paper introduces the notion of a topological hyperfield and explores the generalization of Grassmannians and realization spaces to this context, particularly in relating the (hyper)fields R and C to hyperfields arising in matroid theory and in tropical geometry.

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James F. Davis, Laura Anderson. 2018-11-03. Hyperfield Grassmannians. https://doi.org/10.1016/j.aim.2018.10.021

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