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simply connected surface

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  • 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

  • simply connected — adjective Date: 1893 being or characterized by a surface that is divided into two separate parts by every closed curve it contains …   New Collegiate Dictionary

  • simply connected — adjective : being or characterized by a surface divided into two separate parts by every closed curve it contains …   Useful english dictionary

  • Surface of general type — In algebraic geometry, a surface of general type is an algebraic surface with Kodaira dimension 2.These are all algebraic, and in some sense most surfaces are in this class. ClassificationGieseker showed that there is a coarse moduli scheme for… …   Wikipedia

  • K3 surface — In mathematics, in the field of complex manifolds, a K3 surface is an important and interesting example of a compact complex surface (complex dimension 2 being real dimension 4). Together with two dimensional complex tori, they are the Calabi Yau …   Wikipedia

  • Surface — This article discusses surfaces from the point of view of topology. For other uses, see Differential geometry of surfaces, algebraic surface, and Surface (disambiguation). An open surface with X , Y , and Z contours shown. In mathematics,… …   Wikipedia

  • 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

  • Surface water sports — The following is a list of surface water sports; these are sports which are performed atop a body of water.kurfingSkurfing a popular surface watersport in which the participant is towed on a surfboard, behind a boat, with a ski rope. Skurfing is… …   Wikipedia

  • Riemann surface — For the Riemann surface of a subring of a field, see Zariski–Riemann space. Riemann surface for the function ƒ(z) = √z. The two horizontal axes represent the real and imaginary parts of z, while the vertical axis represents the real… …   Wikipedia

  • Dolgachev surface — In mathematics, Dolgachev surfaces are certain simply connected elliptic surfaces, introduced by Dolgachev (1981). They can be used to give examples of an infinite family of homeomorphic simply connected compact 4 manifolds no two of which are… …   Wikipedia

  • Elliptic surface — In mathematics, an elliptic surface is a surface that has an elliptic fibration, in other words a proper connected smooth morphism to an algebraic curve, almost all of whose fibers are elliptic curves. The fibers that are not elliptic curves are… …   Wikipedia

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