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Results tagged with terminology
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user 11640
Questions of the kind "What's the name for a X that satisfies property Y?"
6
votes
Slice-category-like terminology question
$\mathcal{C}'$ is isomorphic to a functor category, namely the category of functors $\mathbb{B} \mathbb{N} \to \mathcal{C}$, where $\mathbb{B} \mathbb{N}$ is the category freely generated by an endomo …
- 15.9k
1
vote
Accepted
Is there a name for this "weak compatibility" between Grothendieck (pre)topologies?
I would just say that the inclusion preserves covering families (in the naïve sense). You don't need Grothendieck pretopologies to make sense of this – just plain coverages (in the sense of Johnstone; …
- 15.9k
10
votes
Accepted
Direct and inverse image terminology
There is a precise, almost literal, sense in which $f^* : \textbf{Sh} (Y) \to \textbf{Sh} (X)$ generalises the inverse image as defined in elementary set theory.
Observe that open subspaces $V \subset …
- 15.9k