Commit 2020-08-26 16:20 2b6924d5
View on Github →feat(topology/algebra/ordered): conditions for a strictly monotone function to be a homeomorphism (#3843)
If a strictly monotone function between linear orders is surjective, it is a homeomorphism.
If a strictly monotone function between conditionally complete linear orders is continuous, and tends to +∞
at +∞
and to -∞
at -∞
, then it is a homeomorphism.
Zulip discussion
Co-authored by: Yury Kudryashov urkud@ya.ru