Canadian Mathematical Society
Canadian Mathematical Society
  location:  Publicationsjournals
Search results

Search: MSC category 55U10 ( Simplicial sets and complexes )

  Expand all        Collapse all Results 1 - 1 of 1

1. CMB 2013 (vol 57 pp. 225)

Adamaszek, MichaƂ
Small Flag Complexes with Torsion
We classify flag complexes on at most $12$ vertices with torsion in the first homology group. The result is moderately computer-aided. As a consequence we confirm a folklore conjecture that the smallest poset whose order complex is homotopy equivalent to the real projective plane (and also the smallest poset with torsion in the first homology group) has exactly $13$ elements.

Keywords:clique complex, order complex, homology, torsion, minimal model
Categories:55U10, 06A11, 55P40, 55-04, 05-04

© Canadian Mathematical Society, 2017 :