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Results tagged with topos-theory
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user 22002
A topos is a category that behaves very much like the category of sets and possesses a good notion of localization. Related to topos are: sheaves, presheaves, descent, stacks, localization,...
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Is there a categorical proof of Gödel's incompleteness theorem?
A significant result in set theory was shown by Cohen when he showed that the continuum hypothesis was independent of ZFC using a new technique called forcing. In Topos theory, this result has a new g …
- 29
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Is there a category of topological-like spaces that forms a topos?
The category of convergence spaces generalise topological spaces and form a quasi-topos, as topoi are allegedly nicer is there a nicer kind of topological-like space, the category of which forms a top …
- 6,210
9
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Is there a nice characterisation of topoi with nice meta-logical properties?
First-order order classical logic with standard semantics has a proof theory: it is complete, sound and effective.
In higher order logic with standard semantics one cannot obtain a proof theory - i …
- 2,083