Convex Union Representability and Convex Codes

DOI10.1093/imrn/rnz055zbMath1473.05331arXiv1808.03992OpenAlexW3103819555WikidataQ128266202 ScholiaQ128266202MaRDI QIDQ3382664

R. Amzi Jeffs, Isabella Novik

Publication date: 21 September 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1808.03992

zbMATH Keywords

neural codecollapsible simplicial complex

Mathematics Subject Classification ID

Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Combinatorial aspects of simplicial complexes (05E45)

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Nondegenerate Neural Codes and Obstructions to Closed-Convexity ⋮ Oriented matroids and combinatorial neural codes ⋮ Non-monotonicity of closed convexity in neural codes ⋮ Neural codes with three maximal codewords: convexity and minimal embedding dimension ⋮ Open, closed, and non-degenerate embedding dimensions of neural codes ⋮ Neural Codes, Decidability, and a New Local Obstruction to Convexity ⋮ Neural codes and the factor complex ⋮ Embedding dimension phenomena in intersection complete codes ⋮ Sunflowers of convex open sets

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