genus of space

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• Space and survival — is the relationship between outer space and the long term survival of the human species and civilization. It is based on the observation that space colonization and space science could prevent many human extinction scenarios. A related… …   Wikipedia

• Genus–degree formula — In classical algebraic geometry, the genus–degree formula relates the degree d of a non singular plane curve with its arithmetic genus g via the formula: A singularity of order r decreases the genus by .[1] Proofs The proof follows immediately… …   Wikipedia

• space lattice — Lattice Lat tice, n. [OE. latis, F. lattis lathwork, fr. latte lath. See {Latten}, 1st {Lath}.] 1. Any work of wood, metal, plastic, or other solid material, made by crossing a series of parallel laths, or thin strips, with another series at a… …   The Collaborative International Dictionary of English

• Moduli space — In algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro geometric objects of some fixed kind, or isomorphism classes of such objects. Such spaces frequently arise as… …   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

• Aspherical space — In topology, an aspherical space is a topological space with all higher homotopy groups equal to {0}. If one works with CW complexes, one can reformulate this condition: an aspherical CW complex is a CW complex whose universal cover is… …   Wikipedia

• Symmetric space — In differential geometry, representation theory and harmonic analysis, a symmetric space is a smooth manifold whose group of symmetries contains an inversion symmetry about every point. There are two ways to make this precise. In Riemannian… …   Wikipedia

• Warrior Genus (Warhammer 40,000) — In the fictional Warhammer 40,000 setting, the Tyranids are a nomadic alien race comprising many genetically engineered forms. The Warrior Genus, or Tyranicus Tyranicii, is one biological subgroup of the Tyranids.cite book|title=Warhammer 40,000… …   Wikipedia

• Modulatory space — The spaces described in this article are pitch class spaces which model the relationships between pitch classes in some musical system. These models are often graphs, groups or lattices. Closely related to pitch class space is pitch space, which… …   Wikipedia

• Classifying space — In mathematics, specifically in homotopy theory, a classifying space BG of a topological group G is the quotient of a weakly contractible space EG (i.e. a topological space for which all its homotopy groups are trivial) by a free action of G. It… …   Wikipedia

• Principal homogeneous space — In mathematics, a principal homogeneous space, or torsor, for a group G is a set X on which G acts freely and transitively. That is, X is a homogeneous space for G such that the stabilizer of any point is trivial. An analogous definition holds in …   Wikipedia