@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:-Q10Q14NT-1
  skos:prefLabel "topologie différentielle"@fr, "differential topology"@en ;
  a skos:Concept ;
  skos:narrower psr:-NKJ9JSRD-M .

psr: a skos:ConceptScheme .
psr:-NKJ9JSRD-M
  skos:definition """In mathematics, the <b>Birkhoff–Grothendieck theorem</b> classifies holomorphic vector bundles over the complex projective line. In particular every holomorphic vector bundle over <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\\\\displaystyle \\\\mathbb {CP} ^{1}}">
<br/>  <semantics>
<br/>    <mrow class="MJX-TeXAtom-ORD">
<br/>      <mstyle displaystyle="true" scriptlevel="0">
<br/>        <msup>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mi mathvariant="double-struck">C</mi>
<br/>            <mi mathvariant="double-struck">P</mi>
<br/>          </mrow>
<br/>          <mrow class="MJX-TeXAtom-ORD">
<br/>            <mn>1</mn>
<br/>          </mrow>
<br/>        </msup>
<br/>      </mstyle>
<br/>    </mrow>
<br/>    <annotation encoding="application/x-tex">{\\\\displaystyle \\\\mathbb {CP} ^{1}}</annotation>
<br/>  </semantics>
<br/></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/82c98c461bccbd4567716df0a6a2ff97bf9371af" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:4.153ex; height:2.676ex;" alt="{\\\\mathbb  {CP}}^{1}"></span> is a direct sum of holomorphic line bundles. The theorem was proved by Alexander Grothendieck&nbsp;(1957, Theorem 2.1), and is more or less equivalent to  Birkhoff factorization introduced by George David Birkhoff&nbsp;(1909). 
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Birkhoff%E2%80%93Grothendieck_theorem">https://en.wikipedia.org/wiki/Birkhoff%E2%80%93Grothendieck_theorem</a>)"""@en ;
  skos:prefLabel "Birkhoff-Grothendieck theorem"@en, "théorème de Birkhoff-Grothendieck"@fr ;
  skos:inScheme psr: ;
  skos:exactMatch <https://en.wikipedia.org/wiki/Birkhoff%E2%80%93Grothendieck_theorem> ;
  skos:broader psr:-Q10Q14NT-1 ;
  dc:modified "2023-08-22"^^xsd:date ;
  skos:related psr:-RD2D0P6C-W ;
  a skos:Concept ;
  dc:created "2023-07-21"^^xsd:date .

psr:-RD2D0P6C-W
  skos:prefLabel "fibré vectoriel"@fr, "vector bundle"@en ;
  a skos:Concept ;
  skos:related psr:-NKJ9JSRD-M .