Abstract
Barycentric subdivision has long been a useful tool in geometry and topology. It is an operation that preserves topology and is well-behaved combinatorially. In this chapter we will study a transformation of Brenti and Welker that maps the f-vector of a complex to the f-vector of its barycentric subdivision.
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References
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Petersen, T.K. (2015). Barycentric subdivision. In: Eulerian Numbers. Birkhäuser Advanced Texts Basler Lehrbücher. Birkhäuser, New York, NY. https://doi.org/10.1007/978-1-4939-3091-3_9
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DOI: https://doi.org/10.1007/978-1-4939-3091-3_9
Publisher Name: Birkhäuser, New York, NY
Print ISBN: 978-1-4939-3090-6
Online ISBN: 978-1-4939-3091-3
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