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arXiv · 1810.01023

Principal bundles of open groupoids

Juan Pablo Quijano
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Abstract

Taking into account the correspondence between open groupoids and their quantales, we establish a bijective correspondence between the principal $G$-bundles whose left projection is an open surjection and the principal $\opens(G)$-locales for any open groupoid $G$ and its groupoid quantale $\opens(G)$, the latter requires a generalization of the supported modules for groupoid quantales.

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Juan Pablo Quijano. 2018-10-02. Principal bundles of open groupoids. https://arxiv.org/abs/1810.01023

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