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math.CO2014
Locally Determined Functions of Finite Simplicial Complexes that are Linear Combinations of the Numbers of Simplices in Each Dimension
Ethan D. Bloch
The Euler characteristic, thought of as a function that assigns a numerical value to every finite simplicial complex, is locally determined in both a combinatorial sense and a geom…
math.CO2014★ 7 cited
Combinatorial Ricci Curvature for Polyhedral Surfaces and Posets
Ethan Bloch
The combinatorial Ricci curvature of Forman, which is defined at the edges of a CW complex, and which makes use of only the face relations of the cells in the complex, does not sat…