Results 51 to 60 of about 9,625 (154)
Nonstandard topologies with bases that consist only of standard sets [PDF]
Proceedings of the American Mathematical Society, 2000 Summary: Let \(X\) be an infinite set, \(D\) a set of pseudo-metrics on \(X\), \(\Xi\subset^*X\), and \(\Gamma\subset^* D\). If \(\rho(a,b)\) is limited (finite) for every \(a,b\in\Xi\) and every \(\rho\in\Gamma\), then, for each \(\rho\in\Gamma\), we can define a pseudo-metric \(\widetilde\rho\) on \(\Xi\) by writing \(\widetilde\rho(a,b)= \text{st ...
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Studies in Applied Mathematics, Volume 155, Issue 3, September 2025.ABSTRACT We consider reaction–diffusion systems with multiplicative noise on a spatial domain of dimension two or higher. The noise process is white in time, colored in space, and invariant under translations. Inspired by previous works on the real line, we establish the multidimensional stability of planar waves on a cylindrical domain on timescales ...
M. van den Bosch, H. J. Hupkes
wiley +1 more source
Leibniz's Principles and Topological Extensions
, 2010 Three philosophical principles are often quoted in connection with Leibniz: "objects sharing the same properties are the same object", "everything can possibly exist, unless it yields contradiction", "the ideal elements correctly determine the real ...
Forti, Marco
core
Embedding Topological $n$-Manifolds into Compact Nonstandard Topological $n$-Manifolds with Boundary
, 2021 We show as a main message that there is a simple dimension-preserving way to openly and densely embed every topological manifold into a compact ``nonstandard'' topological manifold with boundary.This class of ``nonstandard'' topological manifolds with boundary contains the usual topological manifolds with boundary.In particular,the Alexandroff one ...
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Exponential actions defined by vector configurations, Gale duality, and moment‐angle manifolds
Bulletin of the London Mathematical Society, Volume 57, Issue 9, Page 2571-2629, September 2025.Abstract Exponential actions defined by vector configurations provide a universal framework for several constructions of holomorphic dynamics, non‐Kähler complex geometry, toric geometry and topology. These include leaf spaces of holomorphic foliations, intersections of real and Hermitian quadrics, the quotient construction of simplicial toric ...
Taras Panov
wiley +1 more source
Asymptotics of quantum 6j$6j$‐symbols and generalized hyperbolic tetrahedra
Journal of Topology, Volume 18, Issue 3, September 2025.Abstract We establish the geometry behind the quantum 6j$6j$‐symbols under only the admissibility conditions as in the definition of the Turaev–Viro invariants of 3‐manifolds. As a classification, we show that the 6‐tuples in the quantum 6j$6j$‐symbols give in a precise way to the dihedral angles of (1) a spherical tetrahedron, (2) a generalized ...
Giulio Belletti, Tian Yang
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Nonstandard methods in large-scale topology II
, 2020 This paper is a sequel of Imamura (2019) (arXiv:1711.01609) where we set up a framework of nonstandard large-scale topology. In the present paper, we apply our framework to various topics in large-scale topology: spaces having with both small-scale and large-scale structures, large-scale structures on nonstandard extensions, size properties of subsets ...
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, 2015 Nonstandard topology on is a kind of topology constructed by means of nonstandard analysis on . The ordered field of nonstandard real numbers (or simply hyperreals) has been introduced. It extends the reals . The hyperreals properties and the main topological definitions for with the standard topology have been presented in the nonstandard context ...
Habil, Eissa D., Ghneim, Ahmed A.
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Performance of Akaike Information Criterion and Bayesian Information Criterion in Selecting Partition Models and Mixture Models. [PDF]
Syst Biol, 2023 Liu Q +3 more
europepmc +1 more source
, 2015 The quasiclassical dynamics is studied for charge carriers moving on the surface of 3D topological insulator of Bi2Te3 type and subjected to static magnetic field. The effects connected to the symmetry changes of electron isoenergetic surfaces (contours) and to the nonzero Berry curvature are taken into account.
Demikhovskii, V. Ya., Turkevich, R. V.
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