Abstract: In this section, we relate shellability of a simplicial complex $$\mathcal{H}\;\in \text{BPav}(2)$$ with certain properties of its graph of flats. We then use shellability to determine the homotopy type of the geometric realization $$\vert \vert \mathcal{H}\vert \vert $$ (see Sect. A.5 in the Appendix) and compute its Betti numbers.
Publication Year: 2015
Publication Date: 2015-01-01
Language: en
Type: book-chapter
Indexed In: ['crossref']
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