topological plane

topological plane
мат. топологическая плоскость

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

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  • Plane (geometry) — Two intersecting planes in three dimensional space In mathematics, a plane is a flat, two dimensional surface. A plane is the two dimensional analogue of a point (zero dimensions), a line (one dimension) and a space (three dimensions). Planes can …   Wikipedia

  • Topological game — A topological game is an infinite positional game of perfect information played between two players on a topological space. Players choose objects with topological properties such as points, open sets, closed sets and open coverings. Time is… …   Wikipedia

  • Topological ring — In mathematics, a topological ring is a ring R which is also a topological space such that both the addition and the multiplication are continuous as maps : R times; R → R ,where R times; R carries the product topology. General comments The group …   Wikipedia

  • Topological degree theory — In mathematics, topological degree theory is a generalization of the winding number of a curve in the complex plane. It can be used to estimate the number of solutions of an equation, and is closely connected to fixed point theory. When one… …   Wikipedia

  • Moore plane — In mathematics, the Moore plane, also sometimes called Niemytzki plane (or Nemytskii plane, Nemytskii s tangent disk topology) is a topological space. It is a completely regular Hausdorff space (also called Tychonoff space) which is not normal.… …   Wikipedia

  • Projective plane — See real projective plane and complex projective plane, for the cases met as manifolds of respective dimension 2 and 4 In mathematics, a projective plane has two possible definitions, one of them coming from linear algebra, and another (which is… …   Wikipedia

  • Non-topological soliton — In quantum field theory, a non topological soliton (NTS) is a field configuration possessing, contrary to a topological one, a conserved Noether charge and stable against transformation into usual particles of this field for the following reason …   Wikipedia

  • Complex plane — Geometric representation of z and its conjugate in the complex plane. The distance along the light blue line from the origin to the point z is the modulus or absolute value of z. The angle φ is the argument of z. In mathematics …   Wikipedia

  • Euclidean plane isometry — In geometry, a Euclidean plane isometry is an isometry of the Euclidean plane, or more informally, a way of transforming the plane that preserves geometrical properties such as length. There are four types: translations, rotations, reflections,… …   Wikipedia

  • Sorgenfrey plane — In topology, the Sorgenfrey plane is a frequently cited counterexample to many otherwise plausible sounding conjectures. It consists of the product of two copies of the Sorgenfrey line, which is the real line R under the half open interval… …   Wikipedia

  • hyperbolic plane — noun A topological space homeomorphic to a plane (or open disk) and equipped with a hyperbolic metric …   Wiktionary


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