Construction of A Lattice on the completion space of an algebra and an isomorphism to its Caratheodory Extension

Details Construction of A Lattice on the completion space of an algebra and an isomorphism to its Caratheodory Extension Construction of A Lattice on the completion space of an algebra and an isomorphism to its Caratheodory Extension

2008-06-18

arxiv.org/abs/0806.2940v2

Mathematics

Logic

Scientific paper

In this paper, we will show how the Caratheodory Extension process is
intimately related to the metric completion process. In particular, it will be
shown how one is able to construct a lattice on the completion and to obtain an
isomorphism to its Caratheodory Extension.

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