English

Local Finiteness of Infinite Neighbor Complexes

Combinatorics 2017-03-29 v1

Abstract

We show that if the neighbor complex, as defined by H.~Scarf, of an infinite subset of Zn\Z^n has finite dimension, then each vertex has finitely many neighbors.

Keywords

Cite

@article{arxiv.1703.09331,
  title  = {Local Finiteness of Infinite Neighbor Complexes},
  author = {James J. Madden},
  journal= {arXiv preprint arXiv:1703.09331},
  year   = {2017}
}

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4 pages