Commit 2025-01-20 16:09 82838c6a
View on Github →feat(Data/Matroid/IndepAxioms): Another constructor for finitary matroids (#20877)
This PR adds a new constructor for a finitary matroid, via IndepMatroid
. The constructor uses the infinite independence augmentation axiom, together with a compactness assumption for independence. We name it IndepMatroid.ofFinitary
, and rename the already existing variant with that name IndepMatroid.ofFinitaryCardAugment
, since the former is really more canonical.
This was motivated by the application of algebraic matroids to transcendence degrees, as discussed on zulip