Construction of an Uncountable Difference between Φ(B) and $Φ_f(B)$

• Autorzy: Josh Campbell , David Swanson
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 26A03: Foundations: limits and generalizations, elementary topology of the line
• 28A05: Classes of sets (Borel fields, σ -rings, etc.), measurable sets, Suslin sets, analytic sets

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: 56
• Numer: 2
• Strony: 121-130

Daty

wydano

2008

Twórcy

autor

Josh Campbell

• Department of Mathematics, St. Olaf College, Northfield, MN 55057, U.S.A.

autor

David Swanson

• Department of Mathematics, St. Olaf College, Northfield, MN 55057, U.S.A.

Identyfikatory

DOI

10.4064/ba56-2-4