Submission date: 15 August 2017

Abstract:

Let M=(M, <, +, ...) be an o-minimal expansion of an ordered group, and P a dense subset of M 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].

Mathematics Subject Classification:

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Full text arXiv 1708.03894: pdf, ps.