Stone duality above dimension zero: axiomatising the algebraic theory of \(\mathrm{C}(X)\)
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Publication:502643
DOI10.1016/j.aim.2016.11.012zbMath1376.03038arXiv1508.07750OpenAlexW1954507428MaRDI QIDQ502643
Publication date: 5 January 2017
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1508.07750
MV-algebras (06D35) Equational classes, universal algebra in model theory (03C05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)
Related Items (16)
On the axiomatisability of the dual of compact ordered spaces ⋮ Enriched Stone-type dualities ⋮ Word problems in Elliott monoids ⋮ Are locally finite MV-algebras a variety? ⋮ An analysis of the logic of Riesz spaces with strong unit ⋮ General affine adjunctions, Nullstellensätze, and dualities ⋮ Separable MV-algebras and lattice-ordered groups ⋮ Unnamed Item ⋮ Germinal theories in Łukasiewicz logic ⋮ Generating the algebraic theory of $C(X)$: the case of partially ordered compact spaces ⋮ Rota's Fubini lectures: the first problem ⋮ Beth definability and the Stone-Weierstrass theorem ⋮ Equivalence à la Mundici for commutative lattice-ordered monoids ⋮ A characterisation of the category of compact Hausdorff spaces ⋮ AF-algebras with lattice-ordered \(K_0\): logic and computation ⋮ Hilbert spaces and \(C^\ast\)-algebras are not finitely concrete
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