connected surface

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• connected surface — noun mathematics : a surface from any point of which a continuous path can be drawn to any other point of it without crossing its boundary …   Useful english dictionary

• 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

• 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

• 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 coating — ▪ chemistry Introduction       any mixture of film forming materials plus pigments, solvents, and other additives, which, when applied to a surface and cured or dried, yields a thin film that is functional and often decorative. Surface coatings… …   Universalium

• Surface of class VII — In mathematics, surfaces of class VII are non algebraic complex surfaces studied by (Kodaira 1964, 1968) that have Kodaira dimension −∞ and first Betti number 1. Minimal surfaces of class VII (those with no rational curves with self… …   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

• 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

• 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

• 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

• Genus-2 surface — A genus 2 surface. In mathematics, a genus 2 surface (also known as a double torus or two holed torus) is a surface formed by the connected sum of two tori. That is to say, from each of two tori the interior of a disk is removed, and the… …   Wikipedia