Results 21 to 30 of about 1,324,125 (192)
Abstract We present a theory of optimal topological textures in nonlinear sigma-models with degrees of freedom living in the Grassmannian G r (
Douçot, B. +2 more
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Topological Blockade and Measurement of Topological Charge [PDF]
The fractionally charged quasiparticles appearing in the 5/2 fractional quantum Hall plateau are predicted to have an extra non-local degree of freedom, known as topological charge. We show how this topological charge can block the tunnelling of these particles, and how such 'topological blockade' can be used to readout their topological charge.
van Heck B +3 more
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We examine the complexity of the ``Texas Hold'em'' variant of poker from a topological perspective. We show that there exists a natural simplicial complex governing the multi-way winning probabilities between various hands, and that this simplicial complex contains $4$-dimensional spheres as induced subcomplexes.
Laurent Bartholdi, Roman Mikhailov
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Topological Algebras and Mackey Topologies [PDF]
Let E be a locally m-convex algebra with dual space E ′ E’ . In a recent paper S. Warner asked if the finest locally m-convex topology on E compatible with E ′ E’ was the mackey topology. It is shown that this is not the case.
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Topologically semisimple and topologically perfect topological rings
LaTeX 2e with tikz-cd, 69 pages; v.3: new Section 13 inserted, final Section 14 (former 13) rewritten with much more complete picture obtained using new results of arXiv:1911.11720, Lemma 7.2 deleted as no longer relevant, Examples 3.7(2) and 9.4 inserted; v.4: Remarks 3.11 and 7.2 inserted; v.5: misprints corrected, references updated, a reference to ...
Leonid Positselski, Jan Šťovíček
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We establish some basic theorems in dimension theory and absolute extensor theory in the coarse category of metric spaces. Some of the statements in this category can be translated in general topology language by applying the Higson corona functor.
Dranishnikov, A. N.
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In this paper we present a topological epistemic logic, with modalities for knowledge (modeled as the universal modality), knowability (represented by the topological interior operator), and unknowability of the actual world. The last notion has a non-self-referential reading (modeled by Cantor derivative: the set of limit points of a given set) and a ...
Alexandru Baltag +2 more
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The Mackey topology as a mixed topology [PDF]
A theorem on the coincidence of a mixed topology and the Mackey topology is given. The techniques of partitions of unity are used. As a corollary, a result of LeCam and Conway on the strict topology is obtained. Similar methods are applied to obtain a theorem of Collins and Dorroh.
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A web application, DesMol2, which offers two main functionalities, is presented: the construction of molecular libraries and the calculation of topological indices.
Inma García-Pereira +4 more
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ICrAData - Software for InterCriteria Analysis [PDF]
In this paper, we consider the InterCriteria Analysis (ICrA), which is based on the index matrices and intuitionistic fuzzy sets. We demonstrate the application of ICrA using the software ICrAData.
Nikolay Ikonomov +2 more
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