Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences

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Memoirs of the Faculty of Literature and Science, Shimane University. Natural sciences 11
1977-12-20 発行

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Linear Space Topologies on Riesz Spaces
Murakami, Riitiro
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Description
In the Lebesgue integration theory, Dominated Convergence theorem plays a very important role. It combines an order and a topology. So we abstract it on Riesz spaces and father define another linear space topology and call it a semi-Lebesgue topology. We discuss some relations between this and another linear space topologies om Riesz spaces.