Non-existence of 6-dimensional pseudomanifolds with complementarity
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| 024 | 7 | 0 | |a 10.1515/advg.2004.4.4.537 |2 doi |
| 035 | |a (NATIONALLICENCE)gruyter-10.1515/advg.2004.4.4.537 | ||
| 245 | 0 | 0 | |a Non-existence of 6-dimensional pseudomanifolds with complementarity |h [Elektronische Daten] |c [Bhaskar Bagchi, Basudeb Datta] |
| 520 | 3 | |a In a previous paper ([10]) the second author showed that if M is a pseudomanifold with complementarity other than the 6-vertex real projective plane and the 9-vertex complex projective plane, then M must have dimension ≥ 6, and—in case of equality—M must have exactly 12 vertices. In this paper we prove that such a 6-dimensional pseudomanifold does not exist. On the way to proving our main result we also prove that all combinatorial triangulations of the 4-sphere with at most 10 vertices are combinatorial 4-spheres. | |
| 540 | |a © de Gruyter | ||
| 690 | 7 | |a Geometry |2 nationallicence | |
| 690 | 7 | |a (Weak) pseudomanifolds |2 nationallicence | |
| 690 | 7 | |a combinatorial triangulations |2 nationallicence | |
| 690 | 7 | |a collapsible simplicial complexes |2 nationallicence | |
| 690 | 7 | |a complementarity |2 nationallicence | |
| 690 | 7 | |a piecewise-linear manifolds |2 nationallicence | |
| 700 | 1 | |a Bagchi |D Bhaskar |4 aut | |
| 700 | 1 | |a Datta |D Basudeb |4 aut | |
| 773 | 0 | |t Advances in Geometry |d Walter de Gruyter |g 4/4(2004-11-03), 537-550 |x 1615-715X |q 4:4<537 |1 2004 |2 4 |o advg | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/advg.2004.4.4.537 |q text/html |z Onlinezugriff via DOI |
| 908 | |D 1 |a research article |2 jats | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1515/advg.2004.4.4.537 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Bagchi |D Bhaskar |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Datta |D Basudeb |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Advances in Geometry |d Walter de Gruyter |g 4/4(2004-11-03), 537-550 |x 1615-715X |q 4:4<537 |1 2004 |2 4 |o advg | ||
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| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-gruyter | ||