Diffeological spaces

• Laubinger, Martin ^[1]
  1. [1] Louisiana State University

     Louisiana State University

     Estados Unidos

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 25, Nº. 2, 2006, págs. 151-178
• Idioma: inglés
• DOI: 10.4067/S0716-09172006000200003
• Enlaces
  • Texto completo
• Resumen

  • We define diffeological spaces and give some examples. The diffeological category contains the category of smooth manifolds as full subcategory. We prove that diffeological spaces and smooth maps form a cartesian closed category. The concepts of differential form and tangent functor are extended from smooth manifolds to diffeological spaces.

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