Bases of convergence and diagonal conditions
Let X be a set endowed with a convergence structure for sequences. The author investigates the relationship between four diagonal conditions of double sequences of elements of X such as the following property: If \((x_{mn})_{n\in {\mathbb{N}}}\) converges to \(x_ m\) for each \(m\in {\mathbb{N}}\) and if \((x_ m)_{m\in {\mathbb{N}}}\) converges to x ...
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