Betti splitting from a topological point of view

@article{Bolognini2019BettiSF,
  title={Betti splitting from a topological point of view},
  author={Davide Bolognini and Ulderico Fugacci},
  journal={Journal of Algebra and Its Applications},
  year={2019}
}
A Betti splitting [Formula: see text] of a monomial ideal [Formula: see text] ensures the recovery of the graded Betti numbers of [Formula: see text] starting from those of [Formula: see text] and [Formula: see text]. In this paper, we introduce an analogous notion for simplicial complexes, using Alexander duality, proving that it is equivalent to a recursive splitting condition on links of some vertices. We provide results ensuring the existence of a Betti splitting for a simplicial complex… 

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