Zulip Chat Archive
Stream: Is there code for X?
Topic: Finite set has no accumulation points
Nir Paz (Dec 12 2024 at 17:35):
Do we have something close to the fact that in a T1 space a finite set has an empty derivedSet
? The literal statement doesn't exist but maybe I'm missing something close.
Yury G. Kudryashov (Dec 12 2024 at 17:44):
I think, the closest facts we have are docs#infinite_of_mem_nhds and docs#Finite.instDiscreteTopology
Nir Paz (Dec 12 2024 at 18:36):
Actually I only need that the derivedSet
is not larger than the set itself, which follows from docs#Set.Finite.isClosed and docs#isClosed_iff_derivedSet_subset.
Last updated: May 02 2025 at 03:31 UTC