Carpets on simple 4-contours on the hyperbolic plane of positive curvatureстатья
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Дата последнего поиска статьи во внешних источниках: 21 сентября 2017 г.
Аннотация:Properties of simple 4-contours on the hyperbolic plane of positive curvature are described (in particular, the main theorem on partition of a simple 4-contour by its dissectrises is obtained). New objects (simple carpets and carpets) are introduced. It is shown that the process of dissectorial partition of a simple 4-contour may be described in terms of a weighted oriented binary tree Γ. The weights within one level of the tree Γ are shown to be strictly ordered and a method of comparing weights of vertices of Γ is obtained. Examples of carpets on simple 4-contours are provided