Abstract
We consider in this chapter various natural operations on simplicial complexes and study how they relate to boolean representability. The particular case of restrictions will lead us to introduce prevarieties of simplicial complexes and finite basis problems.
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Bibliography
Izhakian, Z., Rhodes, J.: New representations of matroids and generalizations (2011, preprint). arXiv:1103.0503
White, N. (ed.): Theory of Matroids. Encyclopedia of Mathematics and Its Applications, vol. 26. Cambridge University Press, Cambridge/New York (1986)
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Rhodes, J., Silva, P.V. (2015). Operations on Simplicial Complexes. In: Boolean Representations of Simplicial Complexes and Matroids. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-15114-4_8
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DOI: https://doi.org/10.1007/978-3-319-15114-4_8
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Publisher Name: Springer, Cham
Print ISBN: 978-3-319-15113-7
Online ISBN: 978-3-319-15114-4
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