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

Josh Campbell, and David Swanson. "Construction of an Uncountable Difference between Φ(B) and $Φ_f(B)$." Bulletin of the Polish Academy of Sciences. Mathematics 56.2 (2008): 121-130. <http://eudml.org/doc/281317>.

@article{JoshCampbell2008,
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.},
author = {Josh Campbell, David Swanson},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
keywords = {density point; -density point; homeomorphism; property N; Lebesgue measure; uncountable},
language = {eng},
number = {2},
pages = {121-130},
title = {Construction of an Uncountable Difference between Φ(B) and $Φ_f(B)$},
url = {http://eudml.org/doc/281317},
volume = {56},
year = {2008},
}

TY - JOUR
AU - Josh Campbell
AU - David Swanson
TI - Construction of an Uncountable Difference between Φ(B) and $Φ_f(B)$
JO - Bulletin of the Polish Academy of Sciences. Mathematics
PY - 2008
VL - 56
IS - 2
SP - 121
EP - 130
AB - 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.
LA - eng
KW - density point; -density point; homeomorphism; property N; Lebesgue measure; uncountable
UR - http://eudml.org/doc/281317
ER -