Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the Division of Abstract Manifolds in Cubes.
Authors: Mariana Bujac, Sergiu Cataranciuc, Petru Soltan
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Abstract
We prove that in the class of abstract multidimensional manifolds without borders only torus Vnn of dimension n ≥ 1 can be divided in abstract cubes with the property: every face Im from Vnn is shared by 2n-m cubes, m=0, 1, ..., n-1. The abstract torus V1n 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.E-mails: ,
Fulltext
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Contents
- Quotient rings of pseudonormed rings.
- Numerical treatment of the Kendall equation in the analysis of priority queueing systems.
- On the Division of Abstract Manifolds in Cubes.
- The numerical analysis of the tense condition of a solid body with the asymmetrical tensor of strains.
- On the coproducts of cyclics in commutative modular and semisimple group rings.
- Commutative Moufang loops with maximum conditions for subloops.
- Discontinuous term of the distribution for Markovian random evolution in R3.
- On an algebraic method in the study of integral equations with shift.
- On a family of Hamiltonian cubic planar differential systems.
- The solvability and properties of solutions of an integral convolutional equation.
- On commutative Moufang loops with some restrictions for subgroups of its multiplication groups.
- The property of universality for some monoid algebras over non-commutative rings.
- Junior spatial groups of (22'1)-symmetry.
