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forcing, large cardinals, descriptive set theory, infinite combinatorics, cardinal characteristics, forcing axioms, ultrapowers, measures, reflection, pcf theory, models of set theory, axioms of set theory, independence, axiom of choice, continuum hypothesis, determinacy, Borel equivalence relations, Boolean-valued models, embeddings, orders, relations, transfinite recursion, set theory as a foundation of mathematics, the philosophy of set theory.

3 votes
1 answer
342 views

Is the notion of a 2-category introduced to fix/forget the size issues in the definition of ...

A category $\mathcal{C}$ consists of pair of classes $(\mathcal{C}_0, \mathcal{C}_1)$, along with maps $$\mathcal{C}_1\times_{\mathcal{C}_0}\mathcal{C}_1\rightarrow \mathcal{C}_1\rightrightarrows \mat …
Praphulla Koushik's user avatar
0 votes

Grothendieck topology for a non-small category

Over a large site there is in general no sheafification functor https://ncatlab.org/nlab/show/sheafification. For how to get around this, the keyword is dense subsite https://ncatlab.org/nlab …