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Simplicial complex
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31	Homework II: Simplicial Complexes due 11 Nov, 2010 A For each positive integer n, let ∆n be the simplicial complex consisting of an n-simplex together with all of its faces. Prove that χ(∆n ) = 1: B Let C be a conv Add to Reading List Source URL: www.paulbendich.com Language: English - Date: 2013-02-03 11:29:31
32	Homology 11 Nov, Overview Today we have two main goals: • Define the homology groups of a simplicial complex. Add to Reading List Source URL: www.paulbendich.com Language: English - Date: 2013-02-03 11:29:31
33	Subdividing Alpha Complex Ho-lun Cheng1 and Tony Tan1 School of Computing, National University of Singapore hcheng, Abstract. Given two simplicial complexes C 1 and C 2 embedded in Euclidean space Add to Reading List Source URL: alpha.uhasselt.be Language: English - Date: 2013-09-27 07:35:34 Triangulation Mathematical structures Algebraic topology Simplicial complex Simplex Structure Orbifold Mathematics Topology Geometry
34	Computing Persistent Homology ∗ Afra Zomorodian Add to Reading List Source URL: www.ayasdi.com Language: English - Date: 2015-02-12 20:18:44 Algebraic topology Smith normal form Simplicial homology Homology Spectral sequence Chain complex Simplicial complex Simplex Gaussian elimination Algebra Mathematics Topology
35	RANDOM WALKS ON SIMPLICIAL COMPLEXES AND HARMONICS arXiv:1310.5099v1 [math.CO] 18 OctSAYAN MUKHERJEE AND JOHN STEENBERGEN Add to Reading List Source URL: arxiv.org Language: English - Date: 2013-10-20 20:21:29 Algebraic topology Polytopes Simplex Simplicial complex Permutation Homology Orbifold Abstract simplicial complex Topology Mathematics Abstract algebra
36	Contemporary Mathematics Topological Cohen–Macaulay criteria for monomial ideals Ezra Miller Introduction Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2009-03-18 07:42:21 Algebraic topology Commutative algebra Algebraic combinatorics Homotopy theory Topological spaces Stanley–Reisner ring Combinatorial commutative algebra Cohomology Simplicial complex Abstract algebra Topology Algebra
37	TABLEAU COMPLEXES ALLEN KNUTSON, EZRA MILLER, AND ALEXANDER YONG A BSTRACT. Let X, Y be finite sets and T a set of functions from X → Y which we will call “tableaux”. We define a simplicial complex whose facets, al Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2006-03-25 02:44:38 Algebraic combinatorics Symmetric functions Representation theory of finite groups Algebraic topology Young tableau Simplicial complex Link Stanley–Reisner ring Simplex Abstract algebra Mathematics Algebra
38	Reciprocal domains and Cohen–Macaulay d-complexes in Rd Ezra Miller∗ and Victor Reiner∗ School of Mathematics, University of Minnesota, Minneapolis, MN 55455, USA , Submitted: S Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2004-12-09 18:26:55 Commutative algebra Algebraic geometry Algebraic combinatorics Algebraic topology Topological spaces Cohen–Macaulay ring Stanley–Reisner ring Combinatorial commutative algebra Simplicial complex Abstract algebra Mathematics Algebra
39	TABLEAU COMPLEXES ALLEN KNUTSON, EZRA MILLER, AND ALEXANDER YONG A BSTRACT. Let X, Y be finite sets and T a set of functions from X → Y which we will call “tableaux”. We define a simplicial complex whose facets, al Add to Reading List Source URL: www.math.duke.edu Language: English - Date: 2006-03-25 02:52:15 Symmetric functions Representation theory of finite groups Young tableau Schur polynomial Simplicial complex Vexillary permutation Abstract algebra Algebra Mathematics
40	BULLETIN (New Series) OF THE AMERICAN MATHEMATICAL SOCIETY Volume 46, Number 2, April 2009, Pages 255–308 S01249-X Article electronically published on January 29, 2009 Add to Reading List Source URL: www.ayasdi.com Language: English - Date: 2015-02-12 20:18:45 Algebraic topology Homotopy theory Topological spaces Homology theory Category theory Abstract simplicial complex Simplicial complex Nerve Singular homology Topology Abstract algebra Mathematics

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