{ "d" : { "results": [ { "__metadata": { "uri": "http://dbpedia.org/resource/Crosscap_number" }, "http://dbpedia.org/ontology/wikiPageID": "4875658", "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Abstraction100002137" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Feature105849789" } }, "http://dbpedia.org/ontology/wikiPageExternalLink": { "__deferred": { "uri": "http://jason-uhing.de/" } }, "http://dbpedia.org/ontology/wikiPageRevisionID": "1053422337", "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://rdf.freebase.com/ns/m.0cs2cs" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Knot_sum" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/WikicatKnotInvariants" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "https://global.dbpedia.org/id/4iSXX" } }, "http://www.w3.org/2000/01/rdf-schema#label": "Crosscap number", "http://dbpedia.org/property/wikiPageUsesTemplate": { "__deferred": { "uri": "http://dbpedia.org/resource/Template:Knot_theory" } }, "http://xmlns.com/foaf/0.1/isPrimaryTopicOf": { "__deferred": { "uri": "http://en.wikipedia.org/wiki/Crosscap_number" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Knot_(mathematics)" } }, "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://www.wikidata.org/entity/Q5188519" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Connected_space" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Unknot" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Knot_theory" } }, "http://dbpedia.org/property/wikiPageUsesTemplate": { "__deferred": { "uri": "http://dbpedia.org/resource/Template:Knottheory-stub" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Invariant105850432" } }, "http://dbpedia.org/ontology/abstract": "In the mathematical field of knot theory, the crosscap number of a knot K is the minimum of taken over all compact, connected, non-orientable surfaces S bounding K; here is the Euler characteristic. The crosscap number of the unknot is zero, as the Euler characteristic of the disk is one.", "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/PsychologicalFeature100023100" } }, "http://purl.org/dc/terms/subject": { "__deferred": { "uri": "http://dbpedia.org/resource/Category:Knot_invariants" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Category:Knot_invariants" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Euler_characteristic" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Concept105835747" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Orientability" } }, "http://www.w3.org/ns/prov#wasDerivedFrom": { "__deferred": { "uri": "http://en.wikipedia.org/wiki/Crosscap_number?oldid=1053422337&ns=0" } }, "http://www.w3.org/2000/01/rdf-schema#comment": "In the mathematical field of knot theory, the crosscap number of a knot K is the minimum of taken over all compact, connected, non-orientable surfaces S bounding K; here is the Euler characteristic. The crosscap number of the unknot is zero, as the Euler characteristic of the disk is one.", "http://www.w3.org/2002/07/owl#sameAs": { "__deferred": { "uri": "http://yago-knowledge.org/resource/Crosscap_number" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Surface_(topology)" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Idea105833840" } }, "http://dbpedia.org/ontology/wikiPageLength": "1626", "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Property105849040" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Compact_space" } }, "http://dbpedia.org/ontology/wikiPageExternalLink": { "__deferred": { "uri": "http://www.indiana.edu/~knotinfo/descriptions/crosscap_number.html" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Möbius_strip" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Torus_knot" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Content105809192" } }, "http://www.w3.org/1999/02/22-rdf-syntax-ns#type": { "__deferred": { "uri": "http://dbpedia.org/class/yago/Cognition100023271" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Mathematics" } }, "http://dbpedia.org/ontology/wikiPageWikiLink": { "__deferred": { "uri": "http://dbpedia.org/resource/Trefoil_knot" } } } ], "__count": "1" } }