Actions of a Locally Compact Group with Zero
1971 ◽
Vol 23
(3)
◽
pp. 413-420
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Keyword(s):
In [2] we find the definition of a locally compact group with zero as a locally compact Hausdorff topological semigroup, S, which contains a non-isolated point, 0, such that G = S – {0} is a group. Hofmann shows in [2] that 0 is indeed a zero for S, G is a locally compact topological group, and the unit, 1, of G is the unit of S. We are to study actions of S and G on spaces, and the reader is referred to [4] for the terminology of actions.If X is a space (all are assumed Hausdorff) and A ⊂ X, A* denotes the closure of A. If {xρ} is a net in X, we say limρxρ = ∞ in X if {xρ} has no subnet which converges in X.
1996 ◽
Vol 48
(6)
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pp. 1273-1285
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1984 ◽
Vol 96
(3)
◽
pp. 437-445
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2008 ◽
Vol 78
(1)
◽
pp. 171-176
◽
1958 ◽
Vol 11
(2)
◽
pp. 71-77
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