Mathematical Culture and Thought

Mathematical Culture and Thought

On the Topology of Punctured Spaces

Document Type : Translation

Author
M. Moosapoor
Department of Mathematics Education, Farhangian University, Iran
10.30504/mct.2023.1413.1992
Abstract
We give a short, elementary proof of the fact that singletons are not topologically negligible for a relevant family of metric spaces. The idea is geometric and the concept of locally compactness is used in it. In particular, this method offers alternative solutions to some classical theorems of that nature.
Keywords
topology
homeomorphism
punctured spaces
local compactness

Subjects

‎Teixeira,‎ K‎. ‎C‎. ‎B‎., On the topology of punctured spaces‎,  
‎Amer. Math. Monthly‎‎, 130‎  (2023), no.2‎, ‎182-185.

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  • Receive Date 30 July 2023
  • Revise Date 14 August 2023
  • Accept Date 14 August 2023
  • Publish Date 22 May 2025