Results 291 to 300 of about 486,818 (332)
Some of the next articles are maybe not open access.
1995
Our aim in this section is to show that a compact orientable surface is homeomorphic to a sphere with handles, under the assumption that the surface can be triangulated. The idea is to “flatten” it out, to realize the surface as a polygon in the plane, with certain identifications on the boundary edges, and then, by cutting and pasting, to simplify ...
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Our aim in this section is to show that a compact orientable surface is homeomorphic to a sphere with handles, under the assumption that the surface can be triangulated. The idea is to “flatten” it out, to realize the surface as a polygon in the plane, with certain identifications on the boundary edges, and then, by cutting and pasting, to simplify ...
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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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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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The Topology of Elliptic Surfaces
1994In this chapter, we shall complete the classical (i.e., pre-gauge theory) analysis of the C ∞-topology of elliptic surfaces. In particular we shall compare deformation equivalence and diffeomorphism in all cases except when the fundamental group of the elliptic surface is finite cyclic.
Robert Friedman, John W. Morgan
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Topological Evolution of Surfaces
1996Proceedings of the 1996 Conference on Graphics Interface, Toronto, Ontario, Canada, 22 - 24 May 1996, 194 ...
DeCarlo, Douglas, Gallier, Jean
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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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Exceptional topology of non-Hermitian systems
Reviews of Modern Physics, 2021Emil J Bergholtz +2 more
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Non-Hermitian topology and exceptional-point geometries
Nature Reviews Physics, 2022Kun Ding, Chen Fang, Guancong
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