Izvorni znanstveni članak
Uniform density
Paweł Barbarski
; Institute of Mathematics, University of Gdańsk, Gdańsk, Poland
Rafał Filipów
; Institute of Mathematics, University of Gdańsk, Gdańsk, Poland
Nikodem Mrożek
; Institute of Mathematics, University of Gdańsk, Gdańsk, Poland
Piotr Szuca
; Institute of Mathematics, University of Gdańsk, Gdańsk, Poland
Sažetak
We point out that
is not equivalent to the convergence on a set from the dual filter.
Moreover, we show that there are bounded sequences which
are not
i.e.~
between the Bolzano-Weierstrass property and nonatomic submeasures.
The Borel complexity of the ideal
Ključne riječi
uniform statistical density; statistical density; ideal convergence; Bolzano-Weierstrass property; P-ideal; nonatomic submeasure; Borel set
Hrčak ID:
68629
URI
Datum izdavanja:
10.6.2011.
Posjeta: 1.674 *