Commit 2025-09-18 18:34 3dfd54e3
View on Github →feat(CategoryTheory/Sites): generating precoverage for localized topology (#29737)
We show that the Grothendieck topology on Over X
, obtained from localizing the topology generated
by the precoverage K
, is generated by the preimage of K
.
The newly introduced Precoverage.toGrothendieck
/ GrothendieckTopology.toPrecoverage
don't match the existing naming scheme for Pretopology
and Coverage
. The reason is that the name GrothendieckTopology.toPrecoverage
is friendlier to dot notation (anonymous dot notation would need additional parenthesis). We will change the names for Pretopology
and Coverage
in a separate PR.