ON THE DIVISION OF ABSTRACT MANIFOLDS IN CUBES
| dc.contributor.author | Bujac, Mariana | |
| dc.contributor.author | Cataranciuc, Sergiu | |
| dc.contributor.author | Soltan, Petru | |
| dc.date.accessioned | 2021-10-18T10:24:20Z | |
| dc.date.available | 2021-10-18T10:24:20Z | |
| dc.date.issued | 2006 | |
| dc.description.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. | en |
| dc.identifier.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. | en |
| dc.identifier.issn | 1024-7696 | |
| dc.identifier.uri | https://msuir.usm.md/handle/123456789/4933 | |
| dc.language.iso | en | en |
| dc.publisher | Institutul de Matematică şi Informatică al AŞM | en |
| dc.subject | abstract manifold | en |
| dc.subject | abstract cubic manifold | en |
| dc.subject | cubiliaj | en |
| dc.subject | Eulercharacteristic | en |
| dc.title | ON THE DIVISION OF ABSTRACT MANIFOLDS IN CUBES | en |
| dc.type | Article | en |
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