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THE LEVY-PROKHOROV TOPOLOGY ON NONADDITIVE MEASURES ON METRIC SPACES (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)

open access: yesTHE LEVY-PROKHOROV TOPOLOGY ON NONADDITIVE MEASURES ON METRIC SPACES (Mathematical Studies on Independence and Dependence Structure : Algebra meets Probability)
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Studying a mathematical model of parallel computation by algebraic topology methods

Journal of Applied and Industrial Mathematics, 2009
Under study is one of the mathematical models of parallel computational processes, i.e., an asynchronous transition system. Some methods are proposed for calculating the homology groups and the Poincare polynomial of a finite asynchronous transition system.
A. A. Khusainov   +2 more
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Mathematical knowledge management in algebraic topology

ACM Communications in Computer Algebra, 2012
The work presented in this thesis tries to particularize Mathematical Knowledge Management to Algebraic Topology. Mathematical Knowledge Management is a branch of Computer Science whose main goal consists in developing integral assistants for Mathematics including computation, deduction and powerful user interfaces able to make the daily work of ...
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Operator Algebras, Mathematical Physics, and Low Dimensional Topology

1993
This volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena.
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A Space-Time-Topology-Prime, stTS Metric for a Self-operating Mathematical Universe Uses Dodecanion Geometric Algebra of 2-20 D Complex Vectors

2020
Advancing from eight imaginary worlds of octonion algebra, for the first time we introduce dodecanion algebra, a mathematical universe made of twelve imaginary worlds one inside another. The difference between eight and twelve imaginary worlds is that the Fano plane that sets the products of imaginary vectors is replaced by a triplet of manifolds that ...
Pushpendra Singh   +7 more
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Some Modern Mathematics for Physicists and other Outsiders Vol 1: Algebra, Topology and Measure Theory Vol 2: Functional Analysis with Applications

Physics Bulletin, 1976
Paul Roman Oxford: Pergamon 1975 Vol 1 pp xlviii + 378 Vol 2 pp lxi + 381–666 price each £10.55 (cased), £7.40 (paperback) The books begin with a somewhat terse review of the theory of sets and maps, and then proceed to a more leisurely coverage of the topics mentioned in the titles.
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Categorical Structure of Closure Operators with Applications to Topology, Algebra and Mathematics and its Applications,

1995
Offers an extensive investigation of the theory of closure operators in different areas of mathematics, including (but not limited to) algebra, topology, combinatorics, etc. The closure operators are used to describe relevant concepts and properties as epimorphisms, injectivity, compactness, (dis)connectedness, torsion theories, factoriaztion systems ...
DIKRANJAN, Dikran, THOLEN W.
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Algebra, Geometry, Topology, and Functional Analysis Equations of Major Unsolved Problems in Mathematics

(Hodge Conjecture). Description: Let X be a smooth projective complexalgebraic variety. Its cohomology admits a Hodge decomposition:H2k(X, C) = Mp+q=2kHp,q(X).Conjecture: Every class inHk,k(X) ∩ H2k(X, Q)is a rational linear combination of classes of algebraic cycles.2Problem 1.2 (Jacobian Conjecture). Description: Let F = (F1, . . . , Fn) : Cn → Cn be
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Twelve Papers on Analysis, Applied Mathematics and Algebraic Topology

1963
E. Barbašin   +9 more
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