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- W4287811667 abstract "Given a finite CAT(0) cubical complex, we define a flag simplicial complex associated to it, called the crossing complex. We show that the crossing complex holds much of the combinatorial information of the original cubical complex: for example, hyperplanes in the cubical complex correspond to vertex links in the crossing complex, and the crossing complex is balanced if and only if the cubical complex is cubically balanced. The most significant result is that the sets of $f$-vectors of CAT(0) cubical complexes and flag simplicial complexes are equal, up to an invertible linear transformation." @default.
- W4287811667 created "2022-07-26" @default.
- W4287811667 creator A5085121542 @default.
- W4287811667 date "2020-04-26" @default.
- W4287811667 modified "2023-09-26" @default.
- W4287811667 title "Relating CAT(0) cubical complexes and flag simplicial complexes" @default.
- W4287811667 doi "https://doi.org/10.48550/arxiv.2004.12517" @default.
- W4287811667 hasPublicationYear "2020" @default.
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