Skip to main content
avoid confusing acronyms in title
Link
Nate Eldredge
  • 29.7k
  • 4
  • 101
  • 150

A space in which USsequences have unique limits but compact sets need not KCbe closed

added 146 characters in body
Source Link

DoesA topological space is KC if every compact subspace is closed. A topological space is US if every convergent sequences has exactly one limit. Does someone know an easy example of a US space which is not KC? Thanks.

Does someone know an easy example of a US space which is not KC? Thanks.

A topological space is KC if every compact subspace is closed. A topological space is US if every convergent sequences has exactly one limit. Does someone know an easy example of a US space which is not KC? Thanks.

edited tags
Link
François G. Dorais
  • 44.4k
  • 6
  • 150
  • 233
Source Link
Loading