**-holed solid torus** — noun A three dimensional topological space that is a handlebody with the specified number of 1 handles … Wiktionary

**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

**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

**Mapping class group** — In mathematics, in the sub field of geometric topology, the mapping class group is an important algebraic invariant of a topological space. Briefly, the mapping class group is a discrete group of symmetries of the space. Contents 1 Motivation 2… … Wikipedia

**topology** — topologic /top euh loj ik/, topological, adj. topologically, adv. topologist, n. /teuh pol euh jee/, n., pl. topologies for 3. Math. 1. the study of those properties of geometric forms that remain invariant under c … Universalium

**Ricci flow** — In differential geometry, the Ricci flow is an intrinsic geometric flow a process which deforms the metric of a Riemannian manifold in this case in a manner formally analogous to the diffusion of heat, thereby smoothing out irregularities in the… … Wikipedia

**body** — I (New American Roget s College Thesaurus) I n. torso (See body); solid, mass; group, assemblage; substance, bulk; main part. See whole, party. II Physical structure Nouns 1. body, anatomy, torso; carcass, cadaver, corpse, remains (See … English dictionary for students