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CSIR NET December 2024 · Part B (3 Marks)Analysis & Linear Algebra#coupled-indices-escape-independent-ones-accumulate

Let N\mathbb{N} be the set of positive integers. Consider R2\mathbb{R}^{2} with the Euclidean topology and the subsets A = {(n,1/n):n∈N(n, 1/n) : n \in \mathbb{N}} and B = {(n,1/m):n,m∈N(n, 1/m) : n, m \in \mathbb{N}}. Which of the following statements is true?

Single choice · Metric Spaces

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