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Fibrations of toposes

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If you have a question about this talk, please contact Dr Steve Vickers.

NB This talk is at the theory seminar time (11.0 Friday) in the lab lunch room (217).

The notions of fibration and opfibration in the 2-category of toposes and geometric morphisms have close connections with topological properties. For example, every local homeomorphism is an opfibration.

However, the Elephant definition is complicated and difficult to work with.

I shall describe how a simpler definition in Vickers’s 2-category of contexts for arithmetic universes implies the properties in the Elephant definition, and can be used to prove some of the topos results.

This talk is part of the Lab Lunch series.

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