Patterson, Richard F.Savaş, Ekrem2020-11-212020-11-2120110893-9659https://doi.org/10.1016/j.aml.2011.04.017https://hdl.handle.net/11467/3613The 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 (sk,l) is summable by a four-dimensional RH-regular matrix A=(am,n,k,l) if and only if (sk,l) is P-convergent. This theorem is established using multidimensional sliding hump constructions for bounded and unbounded doubles sequences. © 2011 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/openAccessDivergent double sequencesP-convergentP-divergentPringsheim limit pointRH-regularSubsequences of a double sequencesArticle241016801684Q1WOS:000291912300011Q12-s2.0-7995755671110.1016/j.aml.2011.04.017