Relationship of Algebraic Theories to Powerset Theories and Fuzzy Topological Theories for Lattice-Valued Mathematics [PDF]
International Journal of Mathematics and Mathematical Sciences, 2007 This paper deals with a broad question—to what extent is topology algebraic—using two specific questions: (1) what are the algebraic conditions on the underlying membership lattices which insure that categories for topology and fuzzy topology are indeed topological categories; and (2) what are the algebraic conditions which insure that algebraic ...
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From Music to Mathematics and Backwards: Introducing Algebra, Topology and Category Theory into Computational Musicology [PDF]
, 2018 Despite a long historical relationship between mathematics and music, the interest of mathematicians is a recent phenomenon. In contrast to statistical methods and signal-based approaches currently employed in MIR (Music Information Research), the research project described in this paper stresses the necessity of introducing a structural ...
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Properads in Algebra, Topology, Geometry and Mathematical Physics
, 2009 Ce mémoire contient un résumé de mes travaux sur le thème des propérades et de leurs applications en algèbre, topologie, géométrie et physique mathématique.
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Uniqueness of the Banach algebra topology for non-archimedean algebras. Special issue on the occasion of the twentieth anniversary of the Mathematics Department [PDF]
, 1980 Contains fulltext : 18______.PDF (Publisher’s version ) (Open Access)
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ALGEBRAIC TOPOLOGY AND PHYSICS (Women in Mathematics)
ALGEBRAIC TOPOLOGY AND PHYSICS (Women in Mathematics)Recently, there has been a growing interest in the relations between algebraic topology and physics. Algebraic topology is used to classify physical systems, and it can be a very powerful tool to analyze physical problems in purely mathematical ways. In this talk, I explain this idea and some of my related works.
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Interpretability and Representability of Commutative Algebra, Algebraic Topology, and Topological Spectral Theory for Real-World Data. [PDF]
Adv Intell DiscovRen Y, Wei GW.
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Commutative Algebra Modeling in Materials Science - A Case Study on Metal-Organic Frameworks (MOFs). [PDF]
J Chem Inf ModelKhaemba CS +5 more
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Research on the Consensus Convergence Rate of Multi-Agent Systems Based on Hermitian Kirchhoff Index Measurement. [PDF]
Entropy (Basel)Deng H, Wu T.
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Maximum persistent Betti numbers of Čech complexes. [PDF]
J Appl Comput TopolEdelsbrunner H, Kahle M, Kanazawa S.
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Topological data analysis and topological deep learning beyond persistent homology: a review. [PDF]
Artif Intell RevSu Z +7 more
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