Construction of an Uncountable Difference between Φ(B) and Φƒ(B)

• Autorzy: Campbell J. , Svanson D.
• Języki publikacji: EN

Abstrakty

EN

We construct a set B and homeomorphism ƒ where ƒ and ƒ[sup]-1 have property N such that the symmetric difference between the sets of density points and of ƒ-density points of B is uncountable.

Słowa kluczowe

EN

density point; f-density point; homeomorphism; property N; lebesgue measure; uncountable

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2008
• Tom: Vol. 56, no 2
• Strony: 121--130
• Opis fizyczny: Bibliogr. 2 poz.

Twórcy

autor

Campbell J.

autor

Svanson D.

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

Bibliografia

• [1] J. Campbell and D. Swanson, Families of density type topologies, Int. J. Pure Appl. Math., to appear.
• [2] J. C. Oxtoby, Measure and Category, 2nd ed., Grad. Texts in Math. 2, Springer, New York, 1971.