Commit 2022-06-06 20:46 029a9551
View on Github →refactor(../metric_space/baire): add baire_space class and instances (#14547)
- Add a
baire_space
class containing the Baire property (a countable intersection of open dense sets is dense). - The Baire category theorem for complete metric spaces becomes an instance of
baire_space
. - Previous consequences of the Baire property use
baire_space
as an hypothesis, instead ofpseudo_emetric_space
complete_space
. - Add an instance of
baire_space
for locally compact t2 spaces, in effect extending all the consequences of the Baire property to locally compact spaces.