ON THE DIVISION OF ABSTRACT MANIFOLDS IN CUBES
Date
2006
Journal Title
Journal ISSN
Volume Title
Publisher
Institutul de Matematică şi Informatică al AŞM
Abstract
We 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.
Description
Keywords
abstract manifold, abstract cubic manifold, cubiliaj, Eulercharacteristic
Citation
BUJAC, 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.