Results 81 to 90 of about 176,620,809 (179)
Discrete homotopy hypothesis for n$n$‐types
Proceedings of the London Mathematical Society, Volume 133, Issue 5, November 2026.Abstract We show that discrete and classical homotopy theories are equivalent after localizing at n$n$‐equivalences for any non‐negative integer n$n$. By constructing an explicit homotopy inverse to the graph nerve functor associating an n$n$‐fibrant cubical set to a graph, we are also able to give explicit computations of several previously unknown ...
Daniel Carranza, Krzysztof Kapulkin
wiley +1 more source
The general linear group as a complete invariant for C*-algebras
, 2016 In 1955 Dye proved that two von Neumann factors not of type I2n are isomorphic if and only if their unitary groups are isomorphic as abstract groups.
Adam Sierakowski (20118543) +1 more
core
Advanced Engineering Materials, Volume 28, Issue 20, 21 October 2026.This article explores the transformative potential of symbolic artificial intelligence (AI) in the field of materials science, particularly in leveraging experimental data. The article presents several symbolic AI models and discusses their applications in materials science.
Ahmed Amrani +7 more
wiley +1 more source
In this landmark paper, we undertake what is perhaps the most comprehensive, rigorous, and exhaustive investigation ever attempted in the history of mathematical literature regarding the simplification of the expression $\frac{\pi^2}{\pi}$. Through a meticulous application of the fundamental laws of exponentiation, the axioms of real analysis, the ...
openaire +2 more sources
No-cycle algebras and representation theory [PDF]
In the first half of this dissertation we study certain quotient algebras of preprojective algebras called no-cycle algebras N. These are studied via one-cycle algebras, which are introduced here.
Boddington, Paul
core
The Holomorphic Architecture: Rotation as Computation --- A Generative AI Foundational Framework
Abstract Contemporary AI processes "rotation" while believing it is processing "points." This cognitive blind spot is not an engineering oversight, but an inevitable consequence of axiomatic limitations: real-number parameter spaces, the separation of ...
openaire +20 more sources
A duality for isotropic median algebras [PDF]
, 1992 summary:We establish categorical dualities between varieties of isotropic median algebras and suitable categories of operational and relational topological structures. We follow a general duality theory of B.A. Davey and H. Werner.
Ploščica, Miroslav
core
Dense subalgebras in noncommutative Jordan topological algebras
, 1996 Wilansky conjectured in [12] that normed dense Q-algebras are full subalgebras of Banach algebras. Beddaa and Oudadess proved in [2] that Wilansky’s conjecture was true.
Abel, Mati, Mati Abel
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Invariants of automorphic lie algebras [PDF]
Automorphic Lie Algebras arise in the context of reduction groups introduced in the late 1970s [35] in the field of integrable systems. They are subalgebras of Lie algebras over a ring of rational functions, denied by invariance under the action of a ...
Knibbeler, Vincent
core
, 2005 Universal C*-Algebras associated with noncommutative simplicial complexes were introduced recentely by J.Cuntz. The K-theory of these C*-algebras give an explanation for the Baum-Connes conjecture.
Omran, S. (Saleh)
core +1 more source