About: Genus g surface

Facets (new session)
Description
Metadata
Settings
- Rule:
- Inverse Functional Properties:
- "Same As":

About: Genus g surface Goto Sponge NotDistinct Permalink

An Entity of Type : owl:Thing, within Data Space : dbpedia.demo.openlinksw.com associated with source document(s)
QRcode icon

http://dbpedia.demo.openlinksw.com/describe/?url=http%3A%2F%2Fdbpedia.org%2Fresource%2FGenus_g_surface

In mathematics, a genus g surface (also known as a g-torus or g-holed torus) is a surface formed by the connected sum of g many tori: the interior of a disk is removed from each of g many tori and the boundaries of the g many disks are identified (glued together), forming a g-torus. The genus of such a surface is g. A genus g surface is a two-dimensional manifold. The classification theorem for surfaces states that every compact connected two-dimensional manifold is homeomorphic to either the sphere, the connected sum of tori, or the connected sum of real projective planes.

Attributes	Values
rdfs:label	Superficie de genus g (es) Genus g surface (en)
rdfs:comment	In mathematics, a genus g surface (also known as a g-torus or g-holed torus) is a surface formed by the connected sum of g many tori: the interior of a disk is removed from each of g many tori and the boundaries of the g many disks are identified (glued together), forming a g-torus. The genus of such a surface is g. A genus g surface is a two-dimensional manifold. The classification theorem for surfaces states that every compact connected two-dimensional manifold is homeomorphic to either the sphere, the connected sum of tori, or the connected sum of real projective planes. (en) En matemáticas, una superficie de genus g (también conocida como superficie de género g, g-toro o toro con g orificios) es un un tipo de superficie formada por la suma conexa de g toros: se extrae el interior de un disco de cada uno de los g elementos conexos delimitando superficies toroidales, que una vez pegadas exteriormente sin alterar el número total de orificios permiten formar un g-toro. El genus de tal superficie es g. (es)
foaf:depiction
dcterms:subject	Surfaces Geometry Topology
Wikipage page ID	60481511 (xsd:integer)
Wikipage revision ID	1090011171 (xsd:integer)
Link from a Wikipage to another Wikipage	Projective plane Cross-cap Torus (mathematics) Surfaces Riemann surface Curve Compact space Complex plane Genus (mathematics) Elliptic curve Conformal map Connected space Connected sum dbr:Complex_projective_plane Fundamental pair of periods G-torus knot Surface (topology) Geometry Torus Weierstrass's elliptic functions Dodecagon Topology Handle (mathematics) Tetradecagon Homeomorphism Disk (mathematics) Automorphism group Manifold Bolza surface Sphere Integer Klein bottle Klein quartic Orientability Real projective plane Euler characteristic Three-torus Two-dimensional
sameAs	Genus g surface Genus g surface Genus g surface
dbp:wikiPageUsesTemplate	dbt:For dbt:ISBN dbt:Main dbt:Math dbt:Reflist dbt:Short_description
thumbnail	wiki-commons:Special:FilePath/1-ball.svg?width=300
has abstract	En matemáticas, una superficie de genus g (también conocida como superficie de género g, g-toro o toro con g orificios) es un un tipo de superficie formada por la suma conexa de g toros: se extrae el interior de un disco de cada uno de los g elementos conexos delimitando superficies toroidales, que una vez pegadas exteriormente sin alterar el número total de orificios permiten formar un g-toro. El genus de tal superficie es g. Una superficie de género g es una variedad bidimensional. El teorema de clasificación de superficies establece que cada variedad bidimensional compacta y conexa es homeomórfica con respecto a la esfera, a la suma conexa de toros o a la suma conexa de planos proyectivos reales. (es) In mathematics, a genus g surface (also known as a g-torus or g-holed torus) is a surface formed by the connected sum of g many tori: the interior of a disk is removed from each of g many tori and the boundaries of the g many disks are identified (glued together), forming a g-torus. The genus of such a surface is g. A genus g surface is a two-dimensional manifold. The classification theorem for surfaces states that every compact connected two-dimensional manifold is homeomorphic to either the sphere, the connected sum of tori, or the connected sum of real projective planes. (en)
prov:wasDerivedFrom	wikipedia-en:Genus_g_surface?oldid=1090011171&ns=0
page length (characters) of wiki page	5993 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Genus_g_surface
is Link from a Wikipage to another Wikipage of	G-holed torus G-torus Cellular homology Torus knot Genus-2 surface Genus-three surface Genus-two surface Genus three surface Genus two surface List of solids derived from the sphere Triple torus Double torus Genus-3 surface Genus 2 surface
is Wikipage redirect of	G-holed torus G-torus Genus-2 surface Genus-three surface Genus-two surface Genus three surface Genus two surface Triple torus Double torus Genus-3 surface Genus 2 surface
is foaf:primaryTopic of	wikipedia-en:Genus_g_surface

Faceted Search & Find service v1.17_git139 as of Feb 29 2024

Alternative Linked Data Documents: ODE Content Formats:

RDF

ODATA

Microdata

About

OpenLink Virtuoso version 08.03.3330 as of Mar 19 2024, on Linux (x86_64-generic-linux-glibc212), Single-Server Edition (378 GB total memory, 52 GB memory in use)
Data on this page belongs to its respective rights holders.
Virtuoso Faceted Browser Copyright © 2009-2024 OpenLink Software