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Construction of an Uncountable Difference between Φ(B) and $Φ_{f} (B)$

Josh Campbell; David Swanson — 2008

Bulletin of the Polish Academy of Sciences. Mathematics

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.

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