Diffeological spaces


  • Martin Laubinger Louisiana State University.




Differentiable Structures, differential geometry, differentiable spaces, estructuras diferenciales, geometría diferencial, espacios diferenciables.


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.

Author Biography

Martin Laubinger, Louisiana State University.

Mathematics Department.


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How to Cite

M. Laubinger, “Diffeological spaces”, Proyecciones (Antofagasta, On line), vol. 25, no. 2, pp. 151-178, May 2017.




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