{"?xml":{"@version":"1.0"},"edm:RDF":{"@xmlns:dc":"http://purl.org/dc/elements/1.1/","@xmlns:edm":"http://www.europeana.eu/schemas/edm/","@xmlns:wgs84_pos":"http://www.w3.org/2003/01/geo/wgs84_pos","@xmlns:foaf":"http://xmlns.com/foaf/0.1/","@xmlns:rdaGr2":"http://rdvocab.info/ElementsGr2","@xmlns:oai":"http://www.openarchives.org/OAI/2.0/","@xmlns:owl":"http://www.w3.org/2002/07/owl#","@xmlns:rdf":"http://www.w3.org/1999/02/22-rdf-syntax-ns#","@xmlns:ore":"http://www.openarchives.org/ore/terms/","@xmlns:skos":"http://www.w3.org/2004/02/skos/core#","@xmlns:dcterms":"http://purl.org/dc/terms/","edm:WebResource":[{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-D22UR001/809e9fbb-ea33-45f5-8217-3f226d36415d/PDF","dcterms:extent":"435 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:doc-D22UR001/b478335b-d193-4dfe-9848-60deecccb3f2/TEXT","dcterms:extent":"53 KB"}],"edm:TimeSpan":{"@rdf:about":"2008-2025","edm:begin":{"@xml:lang":"en","#text":"2008"},"edm:end":{"@xml:lang":"en","#text":"2025"}},"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:doc-D22UR001","dcterms:isPartOf":[{"@rdf:resource":"https://www.dlib.si/details/URN:NBN:SI:spr-UP1WMFAR"},{"@xml:lang":"sl","#text":"Ars mathematica contemporanea"}],"dcterms:issued":"2021","dc:creator":["Petelczyc, Krzysztof","Prażmowski, Krzysztof","Żynel, Mariusz"],"dc:format":[{"@xml:lang":"sl","#text":"številka:1"},{"@xml:lang":"sl","#text":"letnik:20"},{"@xml:lang":"sl","#text":"str. 151-170"}],"dc:identifier":["DOI:10.26493/1855-3974.2201.b65","ISSN:1855-3966","COBISSID_HOST:91621635","URN:URN:NBN:SI:doc-D22UR001"],"dc:language":"en","dc:publisher":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za matematiko, naravoslovje in informacijske tehnologije"},"dc:subject":[{"@xml:lang":"en","#text":"coplanarity"},{"@xml:lang":"en","#text":"Grassmann space"},{"@xml:lang":"sl","#text":"Grassmannov prostor"},{"@xml:lang":"sl","#text":"koplanarnost"},{"@xml:lang":"sl","#text":"ogrodni prostor"},{"@xml:lang":"sl","#text":"pahljača premic"},{"@xml:lang":"en","#text":"pencil of lines"},{"@xml:lang":"en","#text":"polar space"},{"@xml:lang":"sl","#text":"polarni prostor"},{"@xml:lang":"en","#text":"projective space"},{"@xml:lang":"sl","#text":"projektivni prostor"},{"@xml:lang":"en","#text":"spine space"}],"dcterms:temporal":{"@rdf:resource":"2008-2025"},"dc:title":{"@xml:lang":"sl","#text":"Geometry of the parallelism in polar spine spaces and their line reducts|"},"dc:description":[{"@xml:lang":"sl","#text":"The concept of the spine geometry over a polar Grassmann space belongs to a wide family of partial affine line spaces. It is known that the geometry of a spine space over a projective Grassmann space can be developed in terms of points, so called affine lines, and their parallelism (in this case the parallelism is not intrinsically definable as it is not Veblenian). This paper aims to prove an analogous result for the polar spine spaces. As a by-product we obtain several other results on primitive notions for the geometry of polar spine spaces"},{"@xml:lang":"sl","#text":"Koncept ogrodne geometrije nad polarnim Grassmannovim prostorom se umešča v širšo družino parcialnih afinih prostorov premic. Znano je, da se da geometrijo ogrodnega prostora nad projektivnim Grassmannovim prostorom izraziti s pomočjo točk, t. i. afinih premic, in relacije vzporednosti med njimi (v tem primeru ta ni intrinzično določljiva, saj ne spada med relacije Veblenove vrste). V članku dokažemo analogen rezultat za polarne ogrodne prostore. Poleg tega predstavimo tudi nekaj drugih rezultatov v zvezi z osnovnimi pojmi geometrije polarnih ogrodnih prostorov"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"znanstveno časopisje"},{"@xml:lang":"en","#text":"journals"},{"@rdf:resource":"http://www.wikidata.org/entity/Q361785"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:doc-D22UR001","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:doc-D22UR001"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:doc-D22UR001/809e9fbb-ea33-45f5-8217-3f226d36415d/PDF"},"edm:rights":{"@rdf:resource":"http://creativecommons.org/licenses/by/4.0/"},"edm:provider":"Slovenian National E-content Aggregator","edm:intermediateProvider":{"@xml:lang":"en","#text":"National and University Library of Slovenia"},"edm:dataProvider":{"@xml:lang":"sl","#text":"Univerza na Primorskem, Fakulteta za naravoslovje, matematiko in informacijske tehnologije"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:doc-D22UR001/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:doc-D22UR001"}}}}