StevenXClontz’s avatarStevenXClontz’s Twitter Archive—№ 5,848

  1. …in reply to @undefined
    @boarbarktree @ClaudioJacobo @skittishLilly And given any example f:X→X, here's a new compact non-Hausdorff example: assume z in XU{z} only has the whole space as a neighborhood and let f(z)=z.
    1. …in reply to @StevenXClontz
      @boarbarktree @ClaudioJacobo @skittishLilly Hmm, well just "maybe new". You could do this same gimmick with an infinite set Z, but then the above procedure produces a homeomorphic copy.