One parameter submonoids in locally compact differentiable monoids

Anderson, Mitch

doi:10.1090/S0002-9939-1989-0946630-5

One parameter submonoids in locally compact differentiable monoids
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Proc. Amer. Math. Soc. 106 (1989), 261-268 Request permission

Abstract:

Differentiable semigroups based on generalized manifolds were recently introduced by George Graham. We show that such locally compact monoids in which the multiplication is strongly differentiable at $(1,1)$ must contain nontrivial one parameter submonoids.

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One parameter subsemigroups in locally compact differentiable semigroups