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| Ultima descărcare din IBN: 2021-10-18 11:55 |
 SM ISO690:2012BUJAC, Mariana, CATARANCIUC, Sergiu, SOLTAN, Petru. On the Division of Abstract Manifolds in Cubes. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2006, nr. 2(51), pp. 29-34. ISSN 1024-7696. |
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| Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica | ||||||
| Numărul 2(51) / 2006 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| Pag. 29-34 | ||||||
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We prove that in the class of abstract multidimensional manifolds without borders only torus V n 1 of dimension n ≥ 1 can be divided in abstract cubes with the property: every face Im from V n 1 is shared by 2n−m cubes, m = 0, 1, . . . , n − 1. The abstract torus V n 1 is realized in Ed, n 1 ≤ d ≤ 2n 1, so it results that in the class of all n-dimensional combinatorial manifolds [1] only torus respects this propriety. Torus is autodual because of this propriety. |
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| Cuvinte-cheie Abstract manifold, abstract cubic manifold, cubiliaj, Euler characteristic. |
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Dublin Core Export
<?xml version='1.0' encoding='utf-8'?> <oai_dc:dc xmlns:dc='http://purl.org/dc/elements/1.1/' xmlns:oai_dc='http://www.openarchives.org/OAI/2.0/oai_dc/' xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xsi:schemaLocation='http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd'> <dc:creator>Bujac, M.</dc:creator> <dc:creator>Cataranciuc, S.G.</dc:creator> <dc:creator>Soltan, P.</dc:creator> <dc:date>2006-08-31</dc:date> <dc:description xml:lang='en'>We prove that in the class of abstract multidimensional manifolds without borders only torus V n 1 of dimension n ≥ 1 can be divided in abstract cubes with the property: every face Im from V n 1 is shared by 2n−m cubes, m = 0, 1, . . . , n − 1. The abstract torus V n 1 is realized in Ed, n 1 ≤ d ≤ 2n 1, so it results that in the class of all n-dimensional combinatorial manifolds [1] only torus respects this propriety. Torus is autodual because of this propriety. </dc:description> <dc:source>Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica 51 (2) 29-34</dc:source> <dc:subject>Abstract manifold</dc:subject> <dc:subject>abstract cubic manifold</dc:subject> <dc:subject>cubiliaj</dc:subject> <dc:subject>Euler characteristic.</dc:subject> <dc:title>On the Division of Abstract Manifolds in Cubes</dc:title> <dc:type>info:eu-repo/semantics/article</dc:type> </oai_dc:dc>
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