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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 9 | Year 2020 | Article Id. IJMTT-V66I9P522 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I9P522

SOME BASIC PROPERTIES OF DESCRIPTIVE LINER SETS


DHANANJOY HALDER
Abstract

In this paper, some basic properties of descriptive linear sets(Distance set, Difference set, Midpoint set, etc. of linear sets) have been established.

Keywords
DESCRIPTIVE LINER SETS.
References

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[3] P.Erdos and J.C.Oxtoby, Partitions of the plane into sets having pos- itive measure in every non-null measurable product set, Trans. Amer. Math. Soc., 79, (1955), 99-102.
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[5] M.E.Kuczma and M.Kuczma, An elementary proof and an extension of a theorem of Steinhaus, Glasnik Mat. Ser. III, 6(26),(1971) 11-18.
[6] H.I.Miller, Generalization of a classical theorem of measure theory, Radovi Akademije Nauka i Umjetnosti BiH, XLV (1973), 45-48.
[7] H.I.Miller, Relationships between various gauges of the size of sets of real numbers, Glasnik Mat. Ser. III, 9(29),(1974), 59-64.
[8] J.C.Oxtoby, Measure and Category, Second Edition, Springer - Verlag, NY, Heidelberg Berlin, (1980).
[9] S.Piccard, Sur les ensembles de distances des points d' un espace Eu- clidean, Neuchatel, (1933).
[10] H.Steinhaus, Sur les distance des points des ensembles de measure pos- itive, Fund - Math, I, (1920), 93-104.

Citation :

DHANANJOY HALDER, "SOME BASIC PROPERTIES OF DESCRIPTIVE LINER SETS," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 9, pp. 192-196, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I9P522

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