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