Geodesic
Discontinuity Conditions on Transformation Groups
Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 417-419

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

DOI

Throughout this paper, (X, T, π) is a topological transformation group [1], L={x∊X:xt=x for some t∊{e}} and 0=X—L is nonempty; standard topological concepts are used as defined in [2].The problem to be considered here has been studied in [3] and [6]. In [3], X is assumed to be a compact metric space, and each t e T satisfies a convergence condition on certain subsets of X. Under these conditions, Kaul proved that if T is equicontinuous on 0, then the group properties of discontinuity, proper discontinuity, and Sperner's condition (see Definition 1) are equivalent. 
Thompson, D. V. Discontinuity Conditions on Transformation Groups. Canadian mathematical bulletin, Tome 15 (1972) no. 3, pp. 417-419. doi: 10.4153/CMB-1972-075-3
@article{10_4153_CMB_1972_075_3,
     author = {Thompson, D. V.},
     title = {Discontinuity {Conditions} on {Transformation} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {417--419},
     year = {1972},
     volume = {15},
     number = {3},
     doi = {10.4153/CMB-1972-075-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-075-3/}
}
TY  - JOUR
AU  - Thompson, D. V.
TI  - Discontinuity Conditions on Transformation Groups
JO  - Canadian mathematical bulletin
PY  - 1972
SP  - 417
EP  - 419
VL  - 15
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-075-3/
DO  - 10.4153/CMB-1972-075-3
ID  - 10_4153_CMB_1972_075_3
ER  - 
%0 Journal Article
%A Thompson, D. V.
%T Discontinuity Conditions on Transformation Groups
%J Canadian mathematical bulletin
%D 1972
%P 417-419
%V 15
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1972-075-3/
%R 10.4153/CMB-1972-075-3
%F 10_4153_CMB_1972_075_3

Cité par Sources :