# Functions of class Ck without derivatives.

Publicacions Matemàtiques (1997)

- Volume: 41, Issue: 2, page 417-435
- ISSN: 0214-1493

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topTuynman, Gijs M.. "Functions of class Ck without derivatives.." Publicacions Matemàtiques 41.2 (1997): 417-435. <http://eudml.org/doc/41315>.

@article{Tuynman1997,

abstract = {We describe a general axiomatic way to define functions of class Ck, k ∈ N∪\{∞\} 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.},

author = {Tuynman, Gijs M.},

journal = {Publicacions Matemàtiques},

keywords = {Variedad graduada; Funciones de variable compleja; Geometría diferencial; Grupos abelianos; topological abelian groups; linearizing factor; functions of class },

language = {eng},

number = {2},

pages = {417-435},

title = {Functions of class Ck without derivatives.},

url = {http://eudml.org/doc/41315},

volume = {41},

year = {1997},

}

TY - JOUR

AU - Tuynman, Gijs M.

TI - Functions of class Ck without derivatives.

JO - Publicacions Matemàtiques

PY - 1997

VL - 41

IS - 2

SP - 417

EP - 435

AB - We describe a general axiomatic way to define functions of class Ck, k ∈ N∪{∞} 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.

LA - eng

KW - Variedad graduada; Funciones de variable compleja; Geometría diferencial; Grupos abelianos; topological abelian groups; linearizing factor; functions of class

UR - http://eudml.org/doc/41315

ER -

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