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arXiv 2017-08-13 1 views

Product cones in dense pairs

Eleftheriou, Pantelis E.

Original · EN

Let M= M, <, +, be an o-minimal expansion of an ordered group, and P M a dense set such that certain tameness conditions hold. We introduce the notion of a `product cone' in M= M, P, and prove: if M expands a real closed field, then M admits a product cone decomposition. If M is linear, then it does not. In particular, we settle a question from [10].

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