"new foundations must give new math"

from "The Basic Picture. Structures for constructive topology"

by Giovanni Sambin, Oxford University Press, forthcoming


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Abstracts » Coquand

Thierry Coquand

Formal Topology and Prufer Domain

We illustrate several notions of formal topology connected to the notion of Prufer domain (domains that are locally valuation domains), which can be described as a "first-order" approximation of the notion of Dedekind domain.

In particular we present an example which requires forcing over a site (which forces the existence of the algebraic closure of a field).