Open, closed, and non-degenerate embedding dimensions of neural codes
RA Jeffs - Discrete & Computational Geometry, 2024 - Springer
We study the open, closed, and non-degenerate embedding dimensions of neural codes,
which are the smallest respective dimensions in which one can find a realization of a code …
which are the smallest respective dimensions in which one can find a realization of a code …
Embedding dimension phenomena in intersection complete codes
RA Jeffs - Selecta Mathematica, 2022 - Springer
Two tantalizing invariants of a combinatorial code C⊆ 2 [n] are cdim (C) and odim (C), the
smallest dimension in which C can be realized by convex closed or open sets, respectively …
smallest dimension in which C can be realized by convex closed or open sets, respectively …
Erratum for “Morphisms of Neural Codes''
RA Jeffs - SIAM Journal on Applied Algebra and Geometry, 2022 - SIAM
This erratum corrects an erroneous claim in Remark 1.7 of “Morphisms of Neural Codes,”
published in SIAM J. Appl. Algebra Geometry, 4 (2020), pp. 99--122. We provide an example …
published in SIAM J. Appl. Algebra Geometry, 4 (2020), pp. 99--122. We provide an example …