期刊论文详细信息
Canadian mathematical bulletin | |
Small Flag Complexes with Torsion | |
Michał Adamaszek1  | |
[1] Fachbereich Mathematik, Universität Bremen, Bibliothekstr. 1, 28359 Bremen, Germany | |
关键词: clique complex; order complex; homology; torsion; minimal model; | |
DOI : 10.4153/CMB-2013-032-9 | |
学科分类:数学(综合) | |
来源: University of Toronto Press * Journals Division | |
【 摘 要 】
We classify flag complexes on at most $12$ vertices with torsion inthe first homology group. The result is moderately computer-aided. As a consequence we confirm a folklore conjecture that the smallestposet whose order complex is homotopy equivalent to the realprojective plane (and also the smallest poset with torsion in thefirst homology group) has exactly $13$ elements.
【 授权许可】
Unknown
【 预 览 】
Files | Size | Format | View |
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RO201912050577034ZK.pdf | 10KB | download |