The structure of lattice-ordered commutative topological groups of compact origin |
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Authors: | A N Islamov |
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Institution: | (1) Tashkent State University, USSR |
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Abstract: | It is shown that every lattice-ordered commutative separable topological group of compact origin can be obtained from a finite number of its linearly ordered subgroups, each of which is isomorphic either to the additive group of real numbers with the natural topology and the usual order or to a subgroup of the additive group of real numbers with the discrete topology and the usual order, admitting a finite system of linearly independent generators, by forming in turn the direct and the lexicographic products.Translated from Matematicheskie Zametki, Vol. 21, No. 6, pp. 855–860, June, 1977. |
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