Dhananjoy Halder - Academia.edu (original) (raw)

Dhananjoy Halder

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Papers by Dhananjoy Halder

Research paper thumbnail of Some Basic Properties of Descriptive Liner Sets

International Journal of Mathematics Trends and Technology

Research paper thumbnail of On the Ratio of two sets in real line

Journal of Classical Analysis, 2016

In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A o... more In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A of the real line R such that the set {c ∈ R : R(A,c + A) contains an interval } is non-measurable. Here the set R(A,c + A) = { a c+a : a,a ∈ A,c + a = 0}. Also other two results on the ratio set of linear sets are presented.

Research paper thumbnail of On the Ratio of two sets in real line

Journal of Classical Analysis, 2016

In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A o... more In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A of the real line R such that the set {c ∈ R : R(A,c + A) contains an interval } is non-measurable. Here the set R(A,c + A) = { a c+a : a,a ∈ A,c + a = 0}. Also other two results on the ratio set of linear sets are presented.

Research paper thumbnail of Some results on porous set relating to ratio sets

Journal of Classical Analysis

An attempt has been made in this paper is to show that every Lebesgue measurable linear set with ... more An attempt has been made in this paper is to show that every Lebesgue measurable linear set with positive measure has a porous subset whose ratio set contains an interval. The category analogue of this result is also established.

Research paper thumbnail of Some Basic Properties of Descriptive Liner Sets

International Journal of Mathematics Trends and Technology

Research paper thumbnail of On the Ratio of two sets in real line

Journal of Classical Analysis, 2016

In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A o... more In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A of the real line R such that the set {c ∈ R : R(A,c + A) contains an interval } is non-measurable. Here the set R(A,c + A) = { a c+a : a,a ∈ A,c + a = 0}. Also other two results on the ratio set of linear sets are presented.

Research paper thumbnail of On the Ratio of two sets in real line

Journal of Classical Analysis, 2016

In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A o... more In this paper, assuming Martin's axiom we show that there exists a Lebesgue measurable subset A of the real line R such that the set {c ∈ R : R(A,c + A) contains an interval } is non-measurable. Here the set R(A,c + A) = { a c+a : a,a ∈ A,c + a = 0}. Also other two results on the ratio set of linear sets are presented.

Research paper thumbnail of Some results on porous set relating to ratio sets

Journal of Classical Analysis

An attempt has been made in this paper is to show that every Lebesgue measurable linear set with ... more An attempt has been made in this paper is to show that every Lebesgue measurable linear set with positive measure has a porous subset whose ratio set contains an interval. The category analogue of this result is also established.

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