Geodesic
Stalking the Souslin Tree—A Topological Guide
Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 337-341

Voir la notice de l'article provenant de la source Cambridge

DOI

It has long been known that the existence of a Souslin line entails (and is entailed by) the existence of a Souslin tree; indeed such a tree can be built from the open subsets of the line in a natural way. It will be shown that less onerous restrictions on a topological space than orderability allow the construction to proceed. For example, to the expected requirements-that the space satisfy the countable chain condition and not be separable, one can add the hypothesis of local connectivity, and that either first category sets be nowhere dense or that nowhere dense sets be separable. 
Tall, Franklin D. Stalking the Souslin Tree—A Topological Guide. Canadian mathematical bulletin, Tome 19 (1976) no. 3, pp. 337-341. doi: 10.4153/CMB-1976-051-3
@article{10_4153_CMB_1976_051_3,
     author = {Tall, Franklin D.},
     title = {Stalking the {Souslin} {Tree{\textemdash}A} {Topological} {Guide}},
     journal = {Canadian mathematical bulletin},
     pages = {337--341},
     year = {1976},
     volume = {19},
     number = {3},
     doi = {10.4153/CMB-1976-051-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-051-3/}
}
TY  - JOUR
AU  - Tall, Franklin D.
TI  - Stalking the Souslin Tree—A Topological Guide
JO  - Canadian mathematical bulletin
PY  - 1976
SP  - 337
EP  - 341
VL  - 19
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-051-3/
DO  - 10.4153/CMB-1976-051-3
ID  - 10_4153_CMB_1976_051_3
ER  - 
%0 Journal Article
%A Tall, Franklin D.
%T Stalking the Souslin Tree—A Topological Guide
%J Canadian mathematical bulletin
%D 1976
%P 337-341
%V 19
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1976-051-3/
%R 10.4153/CMB-1976-051-3
%F 10_4153_CMB_1976_051_3

Cité par Sources :