The differential topology of combinatorial spaces

Robin Forman

To appear at Formal Power Series and Algebraic Combinatorics (FPSAC01), Tempe, Arizona (USA), May 20-24, 2001


We will show how many ingredients from the study of smooth manifolds, such as vector fields, flows, and Morse Theory (along with its generalizations and extensions), can be used effectively in the investigation of simplicial complexes and other combinatorial spaces.
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