Geodesic
Homeomorphism Groups and the Topologist's Sine Curve
Jan J. Dijkstra1 ; Rachid Tahri1
1 Faculteit der Exacte Wetenschappen//Afdeling Wiskunde Vrije Universiteit De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands
Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 3, pp. 269-272

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

It is shown that deleting a point from the topologist's sine curve results in a locally compact connected space whose autohomeomorphism group is not a topological group when equipped with the compact-open topology.
DOI : 10.4064/ba58-3-9
Keywords: shown deleting point topologists sine curve results locally compact connected space whose autohomeomorphism group topological group equipped compact open topology

Jan J. Dijkstra 1 ; Rachid Tahri 1

1 Faculteit der Exacte Wetenschappen//Afdeling Wiskunde Vrije Universiteit De Boelelaan 1081a 1081 HV Amsterdam, The Netherlands 
@article{10_4064_ba58_3_9,
     author = {Jan J. Dijkstra and Rachid Tahri},
     title = {Homeomorphism {Groups} and the {Topologist's} {Sine} {Curve}},
     journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
     pages = {269--272},
     publisher = {mathdoc},
     volume = {58},
     number = {3},
     year = {2010},
     doi = {10.4064/ba58-3-9},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ba58-3-9/}
}
TY  - JOUR
AU  - Jan J. Dijkstra
AU  - Rachid Tahri
TI  - Homeomorphism Groups and the Topologist's Sine Curve
JO  - Bulletin of the Polish Academy of Sciences. Mathematics
PY  - 2010
SP  - 269
EP  - 272
VL  - 58
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ba58-3-9/
DO  - 10.4064/ba58-3-9
LA  - en
ID  - 10_4064_ba58_3_9
ER  - 
%0 Journal Article
%A Jan J. Dijkstra
%A Rachid Tahri
%T Homeomorphism Groups and the Topologist's Sine Curve
%J Bulletin of the Polish Academy of Sciences. Mathematics
%D 2010
%P 269-272
%V 58
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ba58-3-9/
%R 10.4064/ba58-3-9
%G en
%F 10_4064_ba58_3_9
Jan J. Dijkstra; Rachid Tahri. Homeomorphism Groups and the Topologist's Sine Curve. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 58 (2010) no. 3, pp. 269-272. doi: 10.4064/ba58-3-9

Cité par Sources :