Results 21 to 30 of about 1,877,349 (376)
Topology and topological sequence entropy [PDF]
Let $X$ be a compact metric space and $T:X\longrightarrow X$ be continuous. Let $h^*(T)$ be the supremum of topological sequence entropies of $T$ over all subsequences of $\mathbb Z_+$ and $S(X)$ be the set of the values $h^*(T)$ for all continuous maps $T$ on $X$.
Snoha, L., Ye, X., Zhang, R.
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AbstractWe present a theory of optimal topological textures in nonlinear sigma-models with degrees of freedom living in the GrassmannianGr(M,N)manifold. These textures describe skyrmion lattices ofN-component fermions in a quantising magnetic field, relevant to the physics of graphene, bilayer and other multicomponent quantum Hall systems near integer ...
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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New light on Bergman complexes by decomposing matroid types [PDF]
Bergman complexes are polyhedral complexes associated to matroids. Faces of these complexes are certain matroids, called matroid types, too. In order to understand the structure of these faces we decompose matroid types into direct summands.
Martin Dlugosch
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Topology optimization of multi-scale structures: a review
Multi-scale structures, as found in nature (e.g., bone and bamboo), hold the promise of achieving superior performance while being intrinsically lightweight, robust, and multi-functional.
Jun Wu, O. Sigmund, J. Groen
semanticscholar +1 more source
Dynamic GCN: Context-enriched Topology Learning for Skeleton-based Action Recognition [PDF]
raph Convolutional Networks (GCNs) have attracted increasing interests for the task of skeleton-based action recognition. The key lies in the design of the graph structure, which encodes skeleton topology information.
Fanfan Ye +5 more
semanticscholar +1 more source
Minimum topological group topologies [PDF]
A Hausdorff topological group topology on a group $G$ is the minimum (Hausdorff) group topology if it is contained in every Hausdorff group topology on $G$. For every compact metrizable space $X$ containing an open $n$-cell, $n\ge2$, the homeomorphism group $H(X)$ has no minimum Hausdorff group topology.
Paul Gartside, Xiao Chang
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Composite Topological Objects in Topological Superfluids [PDF]
Superfluid phases of $^3$He discovered in 1972 opened the new area of the application of topological methods to condensed matter systems. Due to the multi-component order parameter which characterizes the broken $SO(3)\times SO(3)\times U(1)$ symmetry in these phases, there are many inhomogeneous objects -- textures and defects in the order parameter ...
Grigory Volovik, Grigory Volovik
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Gerty Cori, a Life Dedicated to Chemical and Medical Research
This article shows the life and work of Gerty Cori, a woman born in Czechoslovakia and who later became a naturalized American, who spent her whole life researching, together with her husband, in the laboratory to find the cause of some diseases ...
Juan Núñez Valdés
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The chapter provides an introduction to the basic concepts of Algebraic Topology with an emphasis on motivation from applications in the physical sciences.
Robins, Vanessa
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