Commit 2026-04-03 17:21 8f1377de
View on Github →feat(Topology/Order): existence of a sequence that converges to limsup (#37296) The PR establishes the following results:
- The
limsSupof a filterfis a cluster point off, and in fact it is the greatest cluster point off. - If
fis a countably generated filter in a first countable space, then there exists a sequence converging tolimsSup f. - Analogous statements for
limsupare also proved. - Analogous statements for
limsInfandliminfare also proved. Zulip discussion: #Is there code for X? > Existence of a subsequence that tendsto liminf