The quasi‐redirecting boundary
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We generalize the notion of Gromov boundary to a larger class of metric spaces beyond Gromov hyperbolic spaces. Points in this boundary are classes of quasi‐geodesic rays and the space is equipped with a topology that is naturally invariant under quasi‐isometries.
Yulan Qing, Kasra Rafi
wiley +1 more source
Twisted ambidexterity in equivariant homotopy theory
Journal of Topology, Volume 19, Issue 2, June 2026.Abstract We develop the concept of twisted ambidexterity in a parametrized presentably symmetric monoidal ∞$\infty$‐category, which generalizes the notion of ambidexterity by Hopkins and Lurie and the Wirthmüller isomorphisms in equivariant stable homotopy theory, and is closely related to Costenoble–Waner duality.
Bastiaan Cnossen
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Existence Analysis of a Three‐Species Memristor Drift‐Diffusion System Coupled to Electric Networks
Mathematical Methods in the Applied Sciences, Volume 49, Issue 8, Page 8095-8117, 30 May 2026.ABSTRACT The existence of global weak solutions to a partial‐differential‐algebraic system is proved. The system consists of the drift‐diffusion equations for the electron, hole, and oxide vacancy densities in a memristor device, the Poisson equation for the electric potential, and the differential‐algebraic equations for an electric network.
Ansgar Jüngel, Tuấn Tùng Nguyến
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Manifold topological deep learning for biomedical data. [PDF]
Nat CommunLiu X +5 more
europepmc +1 more source
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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Research on group type theory and its functorial semantic models in category logic. [PDF]
PLoS OneTang JG, Aishan Y, Liu JY, Peng JY.
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Tensor Algebra of the Plexor Field: Mathematical Formalism of the Topological-Plexor Theory
A rigorous mathematical formalism of the Topological-Plexor Theory (TPT) is presented—a gauge field theory in which strong electron correlations and superconductivity are derived from the geometry of discrete spacetime. The physical interpretation and experimental predictions are detailed in the main article [7]. The fundamental object is the 600-
openaire +1 more source
An investigation on Pythagorean fuzzy [Formula: see text] fraction dense space using Pythagorean fuzzy frames. [PDF]
Sci RepGnanachristy NB, Revathi GK.
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