Algebraic shifting and sequentially Cohen-Macaulay simplicial complexes.
Duval, Art M. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Duval, Art M. (1996)
The Electronic Journal of Combinatorics [electronic only]
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Choi, Suyoung, Kim, Jang Soo (2010)
The Electronic Journal of Combinatorics [electronic only]
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Klee, Steven (2009)
The Electronic Journal of Combinatorics [electronic only]
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Berglund, Alexander (2009)
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Babson, Eric, Novik, Isabella (2006)
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Miller, Ezra, Reiner, Victor (2005)
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Tadeusz Januszkiewicz, Jacek Świątkowski (2006)
Publications Mathématiques de l'IHÉS
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We introduce a family of conditions on a simplicial complex that we call local -largeness (≥6 is an integer). They are simply stated, combinatorial and easily checkable. One of our themes is that local 6-largeness is a good analogue of the non-positive curvature: locally 6-large spaces have many properties similar to non-positively curved ones. However, local 6-largeness neither implies nor is implied by non-positive curvature of the standard metric. One can think of these results as...
Frank Harary, Ronald H. Rosen (1976)
Colloquium Mathematicae
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Marietti, Mario, Testa, Damiano (2008)
The Electronic Journal of Combinatorics [electronic only]
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Zhi Lü, Taras Panov (2011)
Open Mathematics
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We extend the construction of moment-angle complexes to simplicial posets by associating a certain T m-space Z S to an arbitrary simplicial poset S on m vertices. Face rings ℤ[S] of simplicial posets generalise those of simplicial complexes, and give rise to new classes of Gorenstein and Cohen-Macaulay rings. Our primary motivation is to study the face rings ℤ[S] by topological methods. The space Z S has many important topological properties of the original moment-angle complex Z K associated...
Joswig, Michael, Kaibel, Volker, Pfetsch, Marc E., Ziegler, Günter M. (2001)
Advances in Geometry
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Bacher, R., Krattenthaler, C. (2011)
The Electronic Journal of Combinatorics [electronic only]
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