Inclusion-exclusion complexes for pseudodisk collections
- Cite this article as:
- Edelsbrunner, H. & Ramos, E.A. Discrete Comput Geom (1997) 17: 287. doi:10.1007/PL00009295
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We show the existence of a two-dimensional abstract simplicial complex, χ ⊆ 2B, so the above relation holds even if χ is substituted for 2B. In addition, χ can be embedded in ℝ2 so its underlying space is homotopy equivalent to int ⋃ B, and the frontier of χ is isomorphic to the nerve of the set of boundary contributions.