Results 261 to 270 of about 4,656,236 (296)
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 ...
openaire +1 more source
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 ...
openaire +1 more source
Corneal Surface Disease Topology
International Ophthalmology Clinics, 1998The specific morphology and distribution of corneal surface lesions may point toward a specific diagnosis and pathogenesis in individual cases (see Fig 1). Staining lesions may be fine (e.g., staphylococcal) or punctate (e.g., keratitis sicca). The size and appearance of staining and nonstaining lesions of the epithelium and subepithelial cornea may be
P B, Marsh, I R, Schwab
openaire +2 more sources
On Topological Classification of A-Diffeomorphisms of Surfaces
Journal of Dynamical and Control Systems, 2000This paper is a review of results obtained by the author and related to the topological classification of discrete dynamical systems (cascades) defined on an orientable smooth closed surface \({\mathcal A}_g\) of genus \(g\geq 0\). Topics are: 1) topological classification of one-dimensional basic sets via automorphisms of fundamental groups, 2 ...
openaire +1 more source
2011
Abstract This chapter discusses the topological classification of surfaces, and outlines an approach to a proof.
openaire +1 more source
Abstract This chapter discusses the topological classification of surfaces, and outlines an approach to a proof.
openaire +1 more source
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.
openaire +2 more sources
Dynamics of rough surfaces with an arbitrary topology
Physical Review E, 1994A model for kinetic growth is presented that allows for overhangs and arbitrary topologies of the growing interface. Numerical studies of the model show that with a choice of the aggregation mechanism equivalent to the one leading to the Kardar-Parisi-Zhang (KPZ) equation [Phys. Rev. Lett. 56, 889 (1986)], we indeed obtain the KPZ results.
P. Keblinski +4 more
openaire +2 more sources
Canadian Journal of Mathematics, 1965
An H-space is a topological space T for which it is possible to define a continuous binary compositionwith the following properties: there exists a homotopy unit, i.e.
openaire +1 more source
An H-space is a topological space T for which it is possible to define a continuous binary compositionwith the following properties: there exists a homotopy unit, i.e.
openaire +1 more source
A topological hierarchy for functions on triangulated surfaces
IEEE Transactions on Visualization and Computer Graphics, 2004We combine topological and geometric methods to construct a multiresolution representation for a function over a two-dimensional domain. In a preprocessing stage, we create the Morse-Smale complex of the function and progressively simplify its topology by cancelling pairs of critical points.
Peer-Timo Bremer +3 more
openaire +3 more sources
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.
openaire +1 more source