{"publication_identifier":{"issn":["0179-5376"]},"language":[{"iso":"eng"}],"date_created":"2018-12-11T12:06:30Z","title":"Inclusion-exclusion complexes for pseudodisk collections","article_processing_charge":"No","issue":"3","page":"287 - 306","day":"01","intvolume":"        17","publist_id":"2104","type":"journal_article","publisher":"Springer","article_type":"original","abstract":[{"lang":"eng","text":"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."}],"date_published":"1997-04-01T00:00:00Z","oa_version":"None","author":[{"first_name":"Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","last_name":"Edelsbrunner","full_name":"Edelsbrunner, Herbert"},{"first_name":"Edgar","last_name":"Ramos","full_name":"Ramos, Edgar"}],"date_updated":"2022-08-18T14:39:39Z","user_id":"ea97e931-d5af-11eb-85d4-e6957dddbf17","_id":"4023","year":"1997","quality_controlled":"1","doi":"10.1007/PL00009295","publication_status":"published","scopus_import":"1","volume":17,"extern":"1","citation":{"chicago":"Edelsbrunner, Herbert, and Edgar Ramos. “Inclusion-Exclusion Complexes for Pseudodisk Collections.” <i>Discrete &#38; Computational Geometry</i>. Springer, 1997. <a href=\"https://doi.org/10.1007/PL00009295\">https://doi.org/10.1007/PL00009295</a>.","ama":"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>","apa":"Edelsbrunner, H., &#38; Ramos, E. (1997). Inclusion-exclusion complexes for pseudodisk collections. <i>Discrete &#38; Computational Geometry</i>. Springer. <a href=\"https://doi.org/10.1007/PL00009295\">https://doi.org/10.1007/PL00009295</a>","ieee":"H. Edelsbrunner and E. Ramos, “Inclusion-exclusion complexes for pseudodisk collections,” <i>Discrete &#38; Computational Geometry</i>, vol. 17, no. 3. Springer, pp. 287–306, 1997.","short":"H. Edelsbrunner, E. Ramos, Discrete &#38; Computational Geometry 17 (1997) 287–306.","ista":"Edelsbrunner H, Ramos E. 1997. Inclusion-exclusion complexes for pseudodisk collections. Discrete &#38; Computational Geometry. 17(3), 287–306.","mla":"Edelsbrunner, Herbert, and Edgar Ramos. “Inclusion-Exclusion Complexes for Pseudodisk Collections.” <i>Discrete &#38; Computational Geometry</i>, vol. 17, no. 3, Springer, 1997, pp. 287–306, doi:<a href=\"https://doi.org/10.1007/PL00009295\">10.1007/PL00009295</a>."},"publication":"Discrete & Computational Geometry","month":"04","status":"public","acknowledgement":"Supported by the National Science Foundation, under Grant ASC-9200301 and the Alan T. Waterman Award CCR-9118874."}