Construction of an Uncountable Difference between ${\mit\Phi}(B)$ and ${\mit\Phi}_f(B)$

Volume 56 / 2008

Josh Campbell, David Swanson Bulletin Polish Acad. Sci. Math. 56 (2008), 121-130 MSC: Primary 28A05, 26A03. DOI: 10.4064/ba56-2-4

Abstract

We construct a set $B$ and homeomorphism $f$ where $f$ and $f^{-1}$ have property N such that the symmetric difference between the sets of density points and of $f$-density points of $B$ is uncountable.

Authors

  • Josh CampbellDepartment of Mathematics
    St. Olaf College
    Northfield, MN 55057, U.S.A.
  • David SwansonDepartment of Mathematics
    St. Olaf College
    Northfield, MN 55057, U.S.A.
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