کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4658316 | 1633089 | 2015 | 14 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Some properties of I-Luzin sets
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
هندسه و توپولوژی
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چکیده انگلیسی
In this paper we consider a notion of I-Luzin set which generalizes the classical notion of Luzin set and SierpiÅski set on Euclidean spaces. We show that there is a translation invariant Ï-ideal I with Borel base for which I-Luzin set can be I-measurable. If we additionally assume that I has the Smital property (or its weaker version) then I-Luzin sets are I-nonmeasurable. We give some constructions of I-Luzin sets involving additive structure of Rn. Moreover, we show that if c is regular, L is a generalized Luzin set and S is a generalized SierpiÅski set then the complex sum L+S belongs to Marczewski ideal s0.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Topology and its Applications - Volume 189, 1 July 2015, Pages 122-135
Journal: Topology and its Applications - Volume 189, 1 July 2015, Pages 122-135
نویسندگان
Marcin Michalski, Szymon Żeberski,