Título inglés |
Functions of class Ck without derivatives. |
Título español |
Funciones de clase Ck sin derivadas. |
Autor/es |
Tuynman, Gijs M. |
Organización |
UFR Math. Univ. Lille, Lille, Francia |
Revista |
0214-1493 |
Publicación |
1997, 41 (2): 417-435, 8 Ref. |
Tipo de documento |
articulo |
Idioma |
Inglés |
Resumen inglés |
We describe a general axiomatic way to define functions of class Ck, k Î NÈ{∞} on topological abelian groups. In the category of Banach spaces, this definition coincides with the usual one. The advantage of this axiomatic approach is that one can dispense
with the notion of norms and limit procedures. The disadvantage is that one looses the derivative, which is replaced by a local linearizing factor. As an application we use this approach to define C∞ functions in the setting of graded/super manifolds. |
Clasificación UNESCO |
121015 |
Palabras clave español |
Variedad graduada ; Funciones de variable compleja ; Geometría diferencial ; Grupos abelianos |
Código MathReviews |
MR1485493 |
Acceso al artículo completo |