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