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arXiv · 1603.03509

Monomial ideals and independence of $\mathrm{I}Σ_2$

Florian Pelupessy
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Abstract

We show that a miniaturised version of Maclagan's theorem on monomial ideals is equivalent to $\mathrm{1}{-}\mathrm{Con}(\mathrm{I}Σ_2)$ and classify a phase transition threshold for this theorem. This work highlights the combinatorial nature of Maclagan's theorem.

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BibTeXRIS

Florian Pelupessy. 2016-03-11. Monomial ideals and independence of $\mathrm{I}Σ_2$. https://doi.org/10.1002/malq.201500035

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