The Open Mapping and Closed Graph Theorem for Embeddable Topological Semigroups
Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 671-674

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

DOI

Some extensions of the open mapping and closed graph theorem are proved for certain classes of commutative topological semigroups, namely those embeddable as open subsets of topological groups. Preliminary results of independent interest include investigations of properties which “lift” from embeddable semigroups to the groups in which they are embedded, and from semigroup homomorphisms to homomorphisms of the groups.
Grant, Douglass L. The Open Mapping and Closed Graph Theorem for Embeddable Topological Semigroups. Canadian mathematical bulletin, Tome 18 (1975) no. 5, pp. 671-674. doi: 10.4153/CMB-1975-117-x
@article{10_4153_CMB_1975_117_x,
     author = {Grant, Douglass L.},
     title = {The {Open} {Mapping} and {Closed} {Graph} {Theorem} for {Embeddable} {Topological} {Semigroups}},
     journal = {Canadian mathematical bulletin},
     pages = {671--674},
     year = {1975},
     volume = {18},
     number = {5},
     doi = {10.4153/CMB-1975-117-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-117-x/}
}
TY  - JOUR
AU  - Grant, Douglass L.
TI  - The Open Mapping and Closed Graph Theorem for Embeddable Topological Semigroups
JO  - Canadian mathematical bulletin
PY  - 1975
SP  - 671
EP  - 674
VL  - 18
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-117-x/
DO  - 10.4153/CMB-1975-117-x
ID  - 10_4153_CMB_1975_117_x
ER  - 
%0 Journal Article
%A Grant, Douglass L.
%T The Open Mapping and Closed Graph Theorem for Embeddable Topological Semigroups
%J Canadian mathematical bulletin
%D 1975
%P 671-674
%V 18
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1975-117-x/
%R 10.4153/CMB-1975-117-x
%F 10_4153_CMB_1975_117_x

Cité par Sources :