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Is the intrinsic volume always positive for maximum dimension?
$\DeclareMathOperator\dim{dim}$To answer my own question, I have put below a proof of both my conjectures (positivity and agreement with Hausdorff measure).
Let $A$ be a definable subset of $\mathbb{R …
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Is the intrinsic volume always positive for maximum dimension?
The intrinsic volume functions on $\mathbb{R}^d$ known from the Steiner formula and Hadwiger's Theorem can be extended to the domain of definable sets of an o-minimal structure $\text{Def}(\mathbb{R}^ …