Inclusion-exclusion complexes for pseudodisk collections Edelsbrunner, Herbert ; https://orcid.org/0000-0002-9823-6833 Ramos, Edgar Let B be a finite pseudodisk collection in the plane. By the principle of inclusion-exclusion, the area or any other measure of the union is [GRAPHICS] We show the existence of a two-dimensional abstract simplicial complex, X subset of or equal to 2(B), so the above relation holds even if X is substituted for 2(B). In addition, X can be embedded in R(2) SO its underlying space is homotopy equivalent to int Boolean OR B, and the frontier of X is isomorphic to the nerve of the set of boundary contributions. Springer 1997 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/4023 Edelsbrunner H, Ramos E. Inclusion-exclusion complexes for pseudodisk collections. <i>Discrete &#38; Computational Geometry</i>. 1997;17(3):287-306. doi:<a href="https://doi.org/10.1007/PL00009295">10.1007/PL00009295</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1007/PL00009295 info:eu-repo/semantics/altIdentifier/issn/0179-5376 info:eu-repo/semantics/closedAccess