topological section

topological section
мат. топологическое сечение

Большой англо-русский и русско-английский словарь. 2001.

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  • Topological tensor product — In mathematics, there are usually many different ways to construct a topological tensor product of two topological vector spaces. For Hilbert spaces or nuclear spaces there is a simple well behaved theory of tensor products (see Tensor product of …   Wikipedia

  • Topological vector space — In mathematics, a topological vector space is one of the basic structures investigated in functional analysis. As the name suggests the space blends a topological structure (a uniform structure to be precise) with the algebraic concept of a… …   Wikipedia

  • Topological sorting — Dependency resolution redirects here. For other uses, see Dependency (disambiguation). In computer science, a topological sort or topological ordering of a directed graph is a linear ordering of its vertices such that, for every edge uv, u comes… …   Wikipedia

  • Topological skeleton — In shape analysis, skeleton (or topological skeleton) of a shape is a thin version of that shape that is equidistant to its boundaries. The skeleton usually emphasizes geometrical and topological properties of the shape, such as its connectivity …   Wikipedia

  • Section (fiber bundle) — In the mathematical field of topology, a section (or cross section) of a fiber bundle, pi; : E rarr; B , over a topological space, B , is a continuous map, f : B rarr; E , such that pi; ( f ( x ))= x for all x in B .A section is a certain… …   Wikipedia

  • Section commençante — Le treillis de l ensemble des parties de l ensemble {1,2,3,4}, la section finissante étant colorée en vert. En mathématiques, et plus précisément en théorie des ordres, une section commençante (parfois également appelée sous ensemble fermé… …   Wikipédia en Français

  • Sheaf (mathematics) — This article is about sheaves on topological spaces. For sheaves on a site see Grothendieck topology and Topos. In mathematics, a sheaf is a tool for systematically tracking locally defined data attached to the open sets of a topological space.… …   Wikipedia

  • Fibred category — Fibred categories are abstract entities in mathematics used to provide a general framework for descent theory. They formalise the various situations in geometry and algebra in which inverse images (or pull backs) of objects such as vector bundles …   Wikipedia

  • Vector bundle — The Möbius strip is a line bundle over the 1 sphere S1. Locally around every point in S1, it looks like U × R, but the total bundle is different from S1 × R (which is a cylinder instead). In mathematics, a vector bundle is a… …   Wikipedia

  • Vector space — This article is about linear (vector) spaces. For the structure in incidence geometry, see Linear space (geometry). Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is… …   Wikipedia

  • Atiyah–Singer index theorem — In the mathematics of manifolds and differential operators, the Atiyah–Singer index theorem states that for an elliptic differential operator on a compact manifold, the analytical index (closely related to the dimension of the space of solutions) …   Wikipedia


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