Results 261 to 270 of about 362,217 (292)
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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.
John W. Morgan, Robert Friedman
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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 surface and the abyss/Rethinking topology
Environment and Planning D: Society and Space, 2015Through a critical deployment of the surface/depth metaphor, this article explores the catalytic potential of topological thinking to establish points of articulation between apparently opposed notions and canons of thought. Starting from a genealogy of mathematical developments and philosophical mediations toward the end point of geography, we ...
Lata I. B., Minca C.
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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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2013
This chapter briefly reviews the fundamental concepts and theorems in algebraic topology [1], surface differential geometry [6], and surface Ricci flow [4, 7]. Detailed discussion on Ricci flow on general Riemannian manifolds can be found in [5]. Advanced topics on differential geometry related to Yamabe equations can be found in [9].
Xianfeng David Gu, Wei Zeng
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This chapter briefly reviews the fundamental concepts and theorems in algebraic topology [1], surface differential geometry [6], and surface Ricci flow [4, 7]. Detailed discussion on Ricci flow on general Riemannian manifolds can be found in [5]. Advanced topics on differential geometry related to Yamabe equations can be found in [9].
Xianfeng David Gu, Wei Zeng
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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
exaly
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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