Descriptive set-theoretical properties of an abstract density operator |
| |
| Authors: | Szymon Gła̧b |
| |
| Affiliation: | 1. Institute of Mathematics, Technical University of ?ód?, ?ód?, Poland
|
| |
| Abstract: | Let $
mathcal{K}
$
mathcal{K}
(ℝ) stand for the hyperspace of all nonempty compact sets on the real line and let d ±(x;E) denote the (right- or left-hand) Lebesgue density of a measurable set E ⊂ ℝ at a point x∈ ℝ. In [3] it was proved that | $
{ K in mathcal{K}(mathbb{R}):forall _x in K(d^ + (x,K) = 1ord^ - (x,K) = 1)}
$
{ K in mathcal{K}(mathbb{R}):forall _x in K(d^ + (x,K) = 1ord^ - (x,K) = 1)}
|
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
|
