@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:-S0L8K1MV-2
  skos:prefLabel "opération d'Adams"@fr, "Adams operation"@en ;
  a skos:Concept ;
  skos:related psr:-RD2D0P6C-W .

psr:-W3FF5PKP-Q
  skos:prefLabel "complex vector bundle"@en, "fibré vectoriel complexe"@fr ;
  a skos:Concept ;
  skos:broader psr:-RD2D0P6C-W .

psr:-Q10Q14NT-1
  skos:prefLabel "topologie différentielle"@fr, "differential topology"@en ;
  a skos:Concept ;
  skos:narrower psr:-RD2D0P6C-W .

psr:-K797LV7Q-K
  skos:prefLabel "Banach bundle"@en, "fibré de Banach"@fr ;
  a skos:Concept ;
  skos:broader psr:-RD2D0P6C-W .

psr:-NKJ9JSRD-M
  skos:prefLabel "théorème de Birkhoff-Grothendieck"@fr, "Birkhoff-Grothendieck theorem"@en ;
  a skos:Concept ;
  skos:related psr:-RD2D0P6C-W .

psr: a skos:ConceptScheme .
psr:-PN64B2Q9-R
  skos:prefLabel "espace homogène principal"@fr, "principal homogeneous space"@en ;
  a skos:Concept ;
  skos:broader psr:-RD2D0P6C-W .

psr:-RD2D0P6C-W
  skos:inScheme psr: ;
  skos:broader psr:-Q10Q14NT-1 ;
  skos:related psr:-NKJ9JSRD-M, psr:-S0L8K1MV-2 ;
  dc:modified "2023-07-21"^^xsd:date ;
  skos:definition """En topologie différentielle, un fibré vectoriel est une construction géométrique ayant une parenté avec le produit cartésien, mais apportant une structure globale plus riche. Elle fait intervenir un espace topologique appelé base et un espace vectoriel modèle appelé fibre modèle. À chaque point de la base est associée une fibre copie de la fibre modèle, l'ensemble formant un nouvel espace topologique : l'espace total du fibré. Celui-ci admet localement la structure d'un produit cartésien de la base par la fibre modèle, mais peut avoir une topologie globale plus compliquée. Les fibrés vectoriels sont donc un cas particulier de fibré, ayant pour fibres des espaces vectoriels. 
<br/>(Wikipedia, L'Encylopédie Libre, <a href="https://fr.wikipedia.org/wiki/Fibr%C3%A9_vectoriel">https://fr.wikipedia.org/wiki/Fibr%C3%A9_vectoriel</a>)"""@fr, """In mathematics, a <b>vector bundle</b> is a topological construction that makes precise the idea of a family of vector spaces parameterized by another space <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 X}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>X</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle X}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68baa052181f707c662844a465bfeeb135e82bab" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.98ex; height:2.176ex;" alt="X"></span> (for example <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 X}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>X</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle X}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68baa052181f707c662844a465bfeeb135e82bab" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.98ex; height:2.176ex;" alt="X"></span> could be a topological space, a manifold, or an algebraic variety): to every point <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 x}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>x</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle x}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/87f9e315fd7e2ba406057a97300593c4802b53e4" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.33ex; height:1.676ex;" alt="x"></span> of the space <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 X}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>X</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle X}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68baa052181f707c662844a465bfeeb135e82bab" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.98ex; height:2.176ex;" alt="X"></span> we associate (or "attach") a vector space <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 V(x)}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>V</mi>
         <mo stretchy="false">(</mo>
         <mi>x</mi>
         <mo stretchy="false">)</mo>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle V(x)}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4ab3e825c2bf9c80d11d12e070a4626d48e03c61" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:4.926ex; height:2.843ex;" alt="V(x)"></span> in such a way that these vector spaces fit together to form another space of the same kind as <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 X}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>X</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle X}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68baa052181f707c662844a465bfeeb135e82bab" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.98ex; height:2.176ex;" alt="X"></span> (e.g. a topological space, manifold, or algebraic variety), which is then called a <b>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 X}">
         <semantics>
         <mrow class="MJX-TeXAtom-ORD">
         <mstyle displaystyle="true" scriptlevel="0">
         <mi>X</mi>
         </mstyle>
         </mrow>
         <annotation encoding="application/x-tex">{\\\\displaystyle X}</annotation>
         </semantics>
         </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/68baa052181f707c662844a465bfeeb135e82bab" class="mwe-math-fallback-image-inline mw-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.98ex; height:2.176ex;" alt="X"></span></b>.
<br/>(Wikipedia, The Free Encyclopedia, <a href="https://en.wikipedia.org/wiki/Vector_bundle">https://en.wikipedia.org/wiki/Vector_bundle</a>)"""@en ;
  skos:exactMatch <https://fr.wikipedia.org/wiki/Fibr%C3%A9_vectoriel>, <https://en.wikipedia.org/wiki/Vector_bundle> ;
  skos:narrower psr:-K797LV7Q-K, psr:-W3FF5PKP-Q, psr:-PN64B2Q9-R ;
  a skos:Concept ;
  skos:prefLabel "vector bundle"@en, "fibré vectoriel"@fr .