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The Category of Generalized Lie Groups
1974
Transactions of the American Mathematical Society
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We consider the category r of generalized Lie groups. A generalized Lie group is a topological group G such that the set LG = Hom(R, G) of continuous homomorphisms from the reals R into G has certain Lie algebra and locally convex topological vector space structures. The full subcategory rr of f-bounded (r positive real number) generalized Lie groups is shown to be left complete. The class of locally compact groups is contained in T. Various properties of generalized Lie groups G and their
doi:10.2307/1996888
fatcat:nz36e3h7lbfu3ahl4opltgp56q