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Paper detail

Generalized point-free spaces, pointwise

We survey foundational principles of Grothendieck's generalized spaces, including a critical glossary of the various, and often conflicting, terminological usages. Known results using generalized points support a fully pointwise notation for these essentially point-free structures. This includes some from dependent type theory to deal with bundles as continuous space-valued maps, mapping base point to fibre.

preprint2022arXivOpen access
Steven Vickers
math.CT
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Steven Vickers

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