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Linear Conditions on the Number of Faces of Manifolds with Boundary by Beifang Chen; Min Yan is a Mathematics article available to read on EtoBox.
What is Linear Conditions on the Number of Faces of Manifolds with Boundary about?
The Euler equation and the Dehn᎐Sommerville equations are known to be the Ž . Ž only rational linear conditions for f-vectors number of simplices at various . dimensions of triangulations of spheres. We generalize this fact to arbitrary triangulations, linear triangulations of manifolds, and polytopal triangulations of Euclidean balls. We prove that for closed manifolds, the Euler equation and the Dehn᎐Sommerville equations remain the only linear conditions. We also prove that for manifolds with nonempty boundary, the Euler equation is the only linear condition. These results are proved not only over ,ޑ but also over ޚ and ޚrk.ޚ
Who reads Linear Conditions on the Number of Faces of Manifolds with Boundary?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Beifang Chen; Min Yan
- Publisher
- Elsevier Science; Elsevier ; Elsevier Inc.; Elsevier BV (ISSN 0196-8858)
- Published
- 1997
- Language
- EN
- Field
- Mathematics (Physical Sciences)