A category theorem for double sequences

Abstract: The goal of this paper is to present the following multidimensional category theorem for double sequences via four-dimensional matrix transformations. The set of second category double subsequences of the double sequence is summable by a four-dimensional RH-regular matrix if and only if is -convergent. This theorem is established using multidimensional sliding hump constructions for bounded and unbounded doubles sequences. [Copyright &y& Elsevier]