Commit 2025-09-22 16:57 44b42c1a
View on Github →feat(Topology/Constructions): piMap
is inducing / embedding / etc (#29648)
Assorted topological results about Pi types, matrices, and matrix groups:
- An arbitrary product of topologically inducing maps is inducing, and similarly for embeddings, etc.
- As a special case, inducing / embedding / etc maps of topological rings induce maps with the same property on matrix spaces.
- When R is a topological ring and
n
a fintype,SL n R
(with the topology it inherits fromMatrix n n R
) is a topological group, and its topology coincides with the subspace topology fromGL n R
. - The image of
SL n Z
inGL n R
is discrete.