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

Josh Campbell; David Swanson

doi:10.4064/ba56-2-4

Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Bulletin of the Polish Academy of Sciences. Mathematics / Wszystkie zeszyty

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

Tom 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

Streszczenie

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.

Autorzy

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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Instytut Matematyczny Polskiej Akademii Nauk / pl / Wydawnictwa / Czasopisma IMPAN / Bulletin of the Polish Academy of Sciences. Mathematics / Wszystkie zeszyty

Bulletin of the Polish Academy of Sciences. Mathematics

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

Tom 56 / 2008

Streszczenie

Autorzy

Przeszukaj wydawnictwa IMPAN

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