connected sphere

connected sphere
Математика: связная сфера

Универсальный англо-русский словарь. . 2011.

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  • Sphère cornue d'Alexander — En mathématiques, et plus précisément en topologie, la sphère cornue d Alexander est un célèbre exemple de surface pathologique ; elle fut découverte en 1923 par J. W. Alexander. Sommaire …   Wikipédia en Français

  • Sphere — Sphere, n. [OE. spere, OF. espere, F. sph[ e]re, L. sphaera,. Gr. ??? a sphere, a ball.] 1. (Geom.) A body or space contained under a single surface, which in every part is equally distant from a point within called its center. [1913 Webster] 2.… …   The Collaborative International Dictionary of English

  • Connected sum — In mathematics, specifically in topology, the operation of connected sum is a geometric modification on manifolds. Its effect is to join two given manifolds together near a chosen point on each. This construction plays a key role in the… …   Wikipedia

  • Sphere theorem — This article is about sphere theorem for Riemannian manifolds. For a different result by the same name, see Sphere theorem (3 manifolds). In Riemannian geometry, the sphere theorem, also known as the quarter pinched sphere theorem, strongly… …   Wikipedia

  • Sphère exotique — En mathématiques, et plus précisément en topologie différentielle, une sphère exotique est une variété différentielle M qui est homéomorphe, mais non difféomorphe, à la n sphère euclidienne standard. Autrement dit, M est une sphère du point de… …   Wikipédia en Français

  • Armillary sphere — Sphere Sphere, n. [OE. spere, OF. espere, F. sph[ e]re, L. sphaera,. Gr. ??? a sphere, a ball.] 1. (Geom.) A body or space contained under a single surface, which in every part is equally distant from a point within called its center. [1913… …   The Collaborative International Dictionary of English

  • Crystalline sphere — Sphere Sphere, n. [OE. spere, OF. espere, F. sph[ e]re, L. sphaera,. Gr. ??? a sphere, a ball.] 1. (Geom.) A body or space contained under a single surface, which in every part is equally distant from a point within called its center. [1913… …   The Collaborative International Dictionary of English

  • Doctrine of the sphere — Sphere Sphere, n. [OE. spere, OF. espere, F. sph[ e]re, L. sphaera,. Gr. ??? a sphere, a ball.] 1. (Geom.) A body or space contained under a single surface, which in every part is equally distant from a point within called its center. [1913… …   The Collaborative International Dictionary of English

  • Oblique sphere — Sphere Sphere, n. [OE. spere, OF. espere, F. sph[ e]re, L. sphaera,. Gr. ??? a sphere, a ball.] 1. (Geom.) A body or space contained under a single surface, which in every part is equally distant from a point within called its center. [1913… …   The Collaborative International Dictionary of English

  • Homology sphere — In algebraic topology, a homology sphere is an n manifold X having the homology groups of an n sphere, for some integer n ≥ 1. That is, we have: H 0( X ,Z) = Z = H n ( X ,Z)and : H i ( X ,Z) = {0} for all other i .Therefore X is a connected space …   Wikipedia

  • Simply connected space — In topology, a topological space is called simply connected (or 1 connected) if it is path connected and every path between two points can be continuously transformed, staying within the space, into any other path while preserving the two… …   Wikipedia


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