Densities generated by equivalent measures
Tóm tắt
In the family of all measures equivalent to the Borel measure µ defined in a metric space X, we look for measures generating the same density points (preserving µ-density at fixed point x
0 ∈ X).
Tài liệu tham khảo
BARTOSZEWICZ, A.: On density points of subsets of metric space with respect to the measure given by Radon-Nikodym derivative, Real Anal. Exchange 23 (1997/98), 783–786.
BARTOSZEWICZ, A.— FILIPCZAK, M.— POREDA, T.: On density with respect to equivalent measures, Demonstratio Math. 43 (2010), 21–28.
HAUPT, O.— PAUC, H.: La topologie de Denjoy envisagee comme vraie topologie, C. R. Math. Acad. Sci. Paris 234 (1952), 390–392.
POREDA, W.— WAGNER-BOJAKOWSKA, E.— WILCZYŃSKI, W.: A category analogue of the density topology, Fund. Math. 125 (1985), 167–173.