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Exotic topology on the surface
Science, 2018Topological Matter Analyzing the spatial symmetries of three-dimensional (3D) crystal structures has led to the discovery of exotic types of quasiparticles and topologically nontrivial materials. Wieder et al. focus on the symmetry groups of 2D surfaces of 3D materials—the so-called wallpaper groups—and find that some of them allow for an additional ...
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Combinatorial Topology of Surfaces
Mathematics Magazine, 1955Tlhe first section of this paper will be devoted to the study of two particular surfaces. The methods used to treat thiese surfaces will then be extended to develop a classificationof surfaces, each class consisting of combinatorially eauivalent surfaces.
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Differential Topology of Surfaces
2021Cohomology appears as soon as one wishes to understand globally problems that one can solve locally. The cohomology will be a bookkeeping device for the obstructions preventing the existence of global solutions, provided that there are local solutions.
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1987
In the previous section we have discussed the generation of groups by given operations, and we have repeatedly come up against infinite groups thereby. In this chapter we shall now deal exclusively with such groups, and use them to make a series of important applications to analysis situs or topology.
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In the previous section we have discussed the generation of groups by given operations, and we have repeatedly come up against infinite groups thereby. In this chapter we shall now deal exclusively with such groups, and use them to make a series of important applications to analysis situs or topology.
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The Topological Theory of Frechet Surfaces
The Annals of Mathematics, 1944The object of this paper is the study of surfaces. As the title indicates we do not propose to consider all the mathematical entities to which the term surface has been applied, and, in fact, our first obligation is to define precisely the objects of our attention.
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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
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Copper Alloy Marking by Altering its Surface Topology Using Laser Heat Treatment
Metallurgist, 2018M. G. Naumova +3 more
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Hydrogel Adhesion: A Supramolecular Synergy of Chemistry, Topology, and Mechanics
Advanced Functional Materials, 2020Jiawei Yang, Ruobing Bai, Baohong Chen
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Mechanical properties of energy-absorbing structures with triply periodic minimal surface topology
Acta Astronautica, 2017M. Sychov +3 more
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