Geodesic
Every N-Dimensional Separable Metric Space Contains a Totally Disconnected (n-1)-Dimensional Subset with no True Quasi-Components
Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 160-161 Cet article a éte moissonné depuis la source Bulgarian Digital Mathematics Library

Voir la notice de l'acte

The quasi-component Q(x) of a point x of a topological space X is by definition the intersection of all open and closed subsets of X, every one of which contains x. If a quasi-component consists of more than one point, it is called a true quasi-component. In this note we give a simple construction of (at least) (n − 1)-dimensional totally disconnected subspace Y of a given n-dimensional separable metric space X such that every quasi-component in Y is a single point. *2000 Mathematics Subject Classification: 17C55.
Keywords: Totally Disconnected N-Dimensional Space 
@incollection{MEM_2010_39_1_a14,
     author = {Todorov, Vladimir and Stoev, Petar},
     title = {Every {N-Dimensional} {Separable} {Metric} {Space} {Contains} a {Totally} {Disconnected} {(n-1)-Dimensional} {Subset} with no {True} {Quasi-Components}},
     booktitle = {},
     series = {Mathematics and Education in Mathematics},
     pages = {160--161},
     year = {2010},
     volume = {39},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a14/}
}
TY  - JOUR
AU  - Todorov, Vladimir
AU  - Stoev, Petar
TI  - Every N-Dimensional Separable Metric Space Contains a Totally Disconnected (n-1)-Dimensional Subset with no True Quasi-Components
JO  - Mathematics and Education in Mathematics
PY  - 2010
SP  - 160
EP  - 161
VL  - 39
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a14/
LA  - en
ID  - MEM_2010_39_1_a14
ER  - 
%0 Journal Article
%A Todorov, Vladimir
%A Stoev, Petar
%T Every N-Dimensional Separable Metric Space Contains a Totally Disconnected (n-1)-Dimensional Subset with no True Quasi-Components
%J Mathematics and Education in Mathematics
%D 2010
%P 160-161
%V 39
%N 1
%U http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a14/
%G en
%F MEM_2010_39_1_a14
Todorov, Vladimir; Stoev, Petar. Every N-Dimensional Separable Metric Space Contains a Totally Disconnected (n-1)-Dimensional Subset with no True Quasi-Components. Mathematics and Education in Mathematics, Tome 39 (2010) no. 1, pp. 160-161. http://geodesic.mathdoc.fr/item/MEM_2010_39_1_a14/