{"id":"https://openalex.org/W6992280433","doi":null,"title":"La topolog\u00eda de los problemas de divisi\u00f3n: reparto libre de envidia y divisi\u00f3n consensuada","display_name":"La topolog\u00eda de los problemas de divisi\u00f3n: reparto libre de envidia y divisi\u00f3n consensuada","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W6992280433"},"language":"es","primary_location":{"id":"pmh:oai:www.ucm.es:73520","doi":null,"is_oa":true,"landing_page_url":"https://eprints.ucm.es/id/eprint/73520/1/aitor_alonso-lorenzo-topologia-tfg.pdf","pdf_url":"https://eprints.ucm.es/id/eprint/73520/1/aitor_alonso-lorenzo-topologia-tfg.pdf","source":{"id":"https://openalex.org/S4306400298","display_name":"Library Open Repository (Universidad Complutense Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I121748325","host_organization_name":"Universidad Complutense de Madrid","host_organization_lineage":["https://openalex.org/I121748325"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bachelorThesis"},"parent_works":[],"lineage":["https://openalex.org/W6992280433"],"child_works_count":0,"type":"dissertation","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.ucm.es/id/eprint/73520/1/aitor_alonso-lorenzo-topologia-tfg.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Alonso Lorenzo, Aitor","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Alonso Lorenzo, Aitor","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T10991","display_name":"Game Theory and Voting Systems","score":0.9804999828338623,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.007199999876320362,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.0010000000474974513,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/fair-division","display_name":"fair division","score":0.9390000104904175},{"id":"https://openalex.org/keywords/envy-free-division","display_name":"envy-free division","score":0.8709999918937683},{"id":"https://openalex.org/keywords/brouwer-fixed-point-theorem","display_name":"Brouwer fixed point theorem","score":0.8840000033378601},{"id":"https://openalex.org/keywords/borsuk-ulam-theorem","display_name":"Borsuk-Ulam theorem","score":0.9990000128746033},{"id":"https://openalex.org/keywords/sperner-s-lemma","display_name":"Sperner's lemma","score":0.9789999723434448},{"id":"https://openalex.org/keywords/discrete-analogues","display_name":"discrete analogues","score":0.5699999928474426}],"concepts":[{"id":"https://openalex.org/C15708023","wikidata":"https://www.wikidata.org/wiki/Q80083","display_name":"Humanities","level":1,"score":0.37369999289512634},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.2529999911785126},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.24740000069141388},{"id":"https://openalex.org/C2986587452","wikidata":"https://www.wikidata.org/wiki/Q938438","display_name":"Statistical analysis","level":2,"score":0.21930000185966492},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.2054000049829483},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.2037999927997589},{"id":"https://openalex.org/C2908647359","wikidata":"https://www.wikidata.org/wiki/Q2625603","display_name":"Population","level":2,"score":0.20190000534057617},{"id":"https://openalex.org/C2986817661","wikidata":"https://www.wikidata.org/wiki/Q185698","display_name":"Research methodology","level":3,"score":0.1996999979019165},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19949999451637268},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.19020000100135803}],"mesh":[],"locations_count":1,"locations":[{"id":"pmh:oai:www.ucm.es:73520","doi":null,"is_oa":true,"landing_page_url":"https://eprints.ucm.es/id/eprint/73520/1/aitor_alonso-lorenzo-topologia-tfg.pdf","pdf_url":"https://eprints.ucm.es/id/eprint/73520/1/aitor_alonso-lorenzo-topologia-tfg.pdf","source":{"id":"https://openalex.org/S4306400298","display_name":"Library Open Repository (Universidad Complutense Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I121748325","host_organization_name":"Universidad Complutense de Madrid","host_organization_lineage":["https://openalex.org/I121748325"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bachelorThesis"}],"best_oa_location":{"id":"pmh:oai:www.ucm.es:73520","doi":null,"is_oa":true,"landing_page_url":"https://eprints.ucm.es/id/eprint/73520/1/aitor_alonso-lorenzo-topologia-tfg.pdf","pdf_url":"https://eprints.ucm.es/id/eprint/73520/1/aitor_alonso-lorenzo-topologia-tfg.pdf","source":{"id":"https://openalex.org/S4306400298","display_name":"Library Open Repository (Universidad Complutense Madrid)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I121748325","host_organization_name":"Universidad Complutense de Madrid","host_organization_lineage":["https://openalex.org/I121748325"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/bachelorThesis"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W3212256098","https://openalex.org/W7214848394","https://openalex.org/W2140799001","https://openalex.org/W2187599127","https://openalex.org/W3132224482","https://openalex.org/W2601856395","https://openalex.org/W7054785669","https://openalex.org/W1480928927","https://openalex.org/W2035046383","https://openalex.org/W2730923572"],"abstract_inverted_index":{"En":[0],"este":[1],"trabajo":[2],"se":[3,13,49],"estudian":[4],"dos":[5],"problemas":[6,18],"de":[7,23,40,45,51,57,62,79,84,90,94,98,101],"divisi\u00f3n":[8,27,81],"y":[9,25,29,42,59,77],"la":[10,26],"topolog\u00eda":[11],"que":[12],"requiere":[14],"para":[15],"resolverlos.":[16],"Los":[17],"son":[19,34],"el":[20,35,43,55,60],"reparto":[21],"libre":[22,78],"envidia":[24],"consensuada,":[28,82],"los":[30],"resultados":[31],"topol\u00f3gicos":[32],"involucrados":[33],"Teorema":[36,44],"del":[37,87],"Punto":[38],"Fijo":[39],"Brouwer":[41],"Borsuk-Ulam.":[46],"Estos":[47],"teoremas":[48],"deducen":[50],"sus":[52],"an\u00e1logos":[53],"discretos:":[54],"Lema":[56,61],"Sperner":[58],"Tucker.":[63],"Tambi\u00e9n":[64],"analizamos":[65],"las":[66],"equivalencias":[67],"formales":[68],"entre":[69],"estos":[70],"cuatro":[71],"resultados.":[72],"\\nPalabras":[73],"clave:":[74],"Divisi\u00f3n":[75],"justa":[76],"envidia,":[80],"lema":[83,92,97],"Sperner,":[85],"teorema":[86,100],"punto":[88],"fijo":[89],"Brouwer,":[91],"d\u00e9bil":[93],"Ky":[95],"Fan,":[96],"Tucker,":[99],"\\nBorsuk-Ulam":[102]},"counts_by_year":[],"updated_date":"2026-09-04T10:56:28.161419","created_date":"2025-10-10T00:00:00"}
