Bujac, MarianaCataranciuc, SergiuSoltan, Petru2021-10-182021-10-182006BUJAC, Mariana, CATARANCIUC, Sergiu, SOLTAN, Petru. On the Division of Abstract Manifolds in Cubes. In: Buletinul Academiei de Ştiinţe a Moldovei. Matematica. 2006, nr. 2(51), pp. 29-34. ISSN 1024-7696.1024-7696https://msuir.usm.md/handle/123456789/4933We prove that in the class of abstract multidimensional manifolds withoutborders only torusVn1of dimensionn≥1 can be divided in abstract cubes with theproperty: every faceImfromVn1is shared by 2n−mcubes,m= 0,1, . . . , n−1. Theabstract torusVn1is realized inEd, n+1≤d≤2n+1, so it results that in the class ofalln-dimensional combinatorial manifolds [1]onlytorus respects this propriety. Torusis autodual because of this propriety.enabstract manifoldabstract cubic manifoldcubiliajEulercharacteristicArticle