Geodesic
A new quantitative analysis of some basic principles of the theory of functions of a real variable
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 26 (2001), p. 133 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

Voir la notice de l'article

We define and study a new regularity requirement that one can put on sets of reals where a given function is to be continuous. The requirement is expressed in terms of number systems used in representing reals as strings of digits. We compare it with the classical requirement expressed in terms of the Lebesgue measure.
Classification : 28A05 28A10 26A21 05D10
Keywords: measurable, continuous 
@article{BASS_2001_26_a7,
     author = {S. Todor\v{c}evi\'c},
     title = {A new quantitative analysis of some basic principles of the theory of functions of a real variable},
     journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
     pages = {133 },
     year = {2001},
     volume = {26},
     zbl = {1005.28001},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASS_2001_26_a7/}
}
TY  - JOUR
AU  - S. Todorčević
TI  - A new quantitative analysis of some basic principles of the theory of functions of a real variable
JO  - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
PY  - 2001
SP  - 133 
VL  - 26
UR  - http://geodesic.mathdoc.fr/item/BASS_2001_26_a7/
LA  - en
ID  - BASS_2001_26_a7
ER  - 
%0 Journal Article
%A S. Todorčević
%T A new quantitative analysis of some basic principles of the theory of functions of a real variable
%J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles
%D 2001
%P 133 
%V 26
%U http://geodesic.mathdoc.fr/item/BASS_2001_26_a7/
%G en
%F BASS_2001_26_a7
S. Todorčević. A new quantitative analysis of some basic principles of the theory of functions of a real variable. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 26 (2001), p. 133 . http://geodesic.mathdoc.fr/item/BASS_2001_26_a7/