@prefix psr: <http://data.loterre.fr/ark:/67375/PSR> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix dc: <http://purl.org/dc/terms/> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

psr:-M3NJVVTK-V
  skos:prefLabel "homogeneous space"@en, "espace homogène"@fr ;
  a skos:Concept ;
  skos:narrower psr:-PN64B2Q9-R .

psr:-S0STN89F-1
  skos:prefLabel "Diophantine geometry"@en, "géométrie diophantienne"@fr ;
  a skos:Concept ;
  skos:narrower psr:-PN64B2Q9-R .

psr: a skos:ConceptScheme .
psr:-PN64B2Q9-R
  skos:broader psr:-M3NJVVTK-V, psr:-RD2D0P6C-W, psr:-S0STN89F-1 ;
  a skos:Concept ;
  skos:prefLabel "principal homogeneous space"@en, "espace homogène principal"@fr ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Principal_homogeneous_space> ;
  skos:definition """In mathematics, a <b>principal homogeneous space</b>, or <b>torsor</b>, for a group <i>G</i> is a homogeneous space <i>X</i> for <i>G</i> in which the stabilizer subgroup of every point is trivial. Equivalently, a principal homogeneous space for a group <i>G</i> is a non-empty set <i>X</i> on which <i>G</i> acts freely and transitively (meaning that, for any <i>x</i>, <i>y</i> in <i>X</i>, there exists a unique <i>g</i> in <i>G</i> such that <span class="nowrap"><i>x</i>·<i>g</i> = <i>y</i></span>, where · denotes the (right) action of <i>G</i> on <i>X</i>).
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Principal_homogeneous_space">https://en.wikipedia.org/wiki/Principal_homogeneous_space</a>)"""@en ;
  dc:modified "2023-08-23"^^xsd:date ;
  dc:created "2023-08-23"^^xsd:date ;
  skos:inScheme psr: .

psr:-RD2D0P6C-W
  skos:prefLabel "fibré vectoriel"@fr, "vector bundle"@en ;
  a skos:Concept ;
  skos:narrower psr:-PN64B2Q9-R .

