DIFFEOLOGICAL SPACES

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 fro...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autor principal: LAUBINGER,MARTIN
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2006
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200003
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:scielo:S0716-09172006000200003
record_format dspace
spelling oai:scielo:S0716-091720060002000032006-08-24DIFFEOLOGICAL SPACESLAUBINGER,MARTINWe 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 spacesinfo:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.25 n.2 20062006-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200003en10.4067/S0716-09172006000200003
institution Scielo Chile
collection Scielo Chile
language English
description 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 LAUBINGER,MARTIN
spellingShingle LAUBINGER,MARTIN
DIFFEOLOGICAL SPACES
author_facet LAUBINGER,MARTIN
author_sort LAUBINGER,MARTIN
title DIFFEOLOGICAL SPACES
title_short DIFFEOLOGICAL SPACES
title_full DIFFEOLOGICAL SPACES
title_fullStr DIFFEOLOGICAL SPACES
title_full_unstemmed DIFFEOLOGICAL SPACES
title_sort diffeological spaces
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2006
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172006000200003
work_keys_str_mv AT laubingermartin diffeologicalspaces
_version_ 1718439746767683584