{"?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-L33RLGVX/7bee22fd-b531-4d5f-9ebc-069a707e9d60/HTML","dcterms:extent":"161 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-L33RLGVX/c121183a-00c1-45ef-85af-d80df3f3037f/PDF","dcterms:extent":"503 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-L33RLGVX/017fbf48-c491-488e-88b1-d6434f7a20fb/TEXT","dcterms:extent":"89 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-L33RLGVX","dcterms:issued":"2003","dc:contributor":["Černe, Miran","Globevnik, Josip"],"dc:creator":"Drinovec-Drnovšek, Barbara","dc:format":[{"@xml:lang":"sl","#text":"72 strani"},{"@xml:lang":"sl","#text":"V, 66 f., 30 cm"}],"dc:identifier":["COBISSID:125059840","URN:URN:NBN:SI:doc-L33RLGVX"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"B. Drinovec Drnovšek"},"dc:source":{"@xml:lang":"sl","#text":"visokošolska dela"},"dc:subject":[{"@xml:lang":"sl","#text":"Disertacije"},{"@xml:lang":"sl","#text":"diskretna množica"},{"@xml:lang":"sl","#text":"holomorfna vložitev"},{"@xml:lang":"sl","#text":"kompleksna analiza"},{"@xml:lang":"sl","#text":"kompletna pluripolarna množica"},{"@xml:lang":"sl","#text":"konveksna množica"},{"@xml:lang":"sl","#text":"plurisubharmonična funkcija"},{"@xml:lang":"sl","#text":"prave holomorfne preslikave"},{"@xml:lang":"sl","#text":"Steinove mnogoterosti"},{"@rdf:resource":"http://www.wikidata.org/entity/Q193657"}],"dc:title":{"@xml:lang":"sl","#text":"Pravi holomorfni diski v Steinovih mnogoterostih| disertacija|"},"dc:description":[{"@xml:lang":"sl","#text":"We study proper holomorphic maps of the unit disc into Stein manifolds. In the first chapter we repeat definitions and theorems which are necessary to understand the results in the thesis. We mention some results and some unsolved problems which are related to the ones in thesis. Denote by ?$\\Delta$? the open unit disc in ?$\\CC$?. In the second chapter we prove that given a discrete subset ?$S$? of a connected Stein manifold ?$X$? there is a proper holomorphic immersion ?$f: \\Delta \\to X$? such that ?$S \\subset f(\\Delta)$?; if ?$\\dim X \\ge 3$? the map ?$f$? can be chosen to be an embedding. In addition we prove that we can prescribe higher order contacts of ?$f(\\Delta)$? with given one dimensional submanifolds in ?$X$?. Let ?$C$? be a closed convex subset of ?$\\CC^2$?. In the third chapter we prove that for each ?$p \\in \\CC^2 \\setminus C$? there is a proper holomorphic map ?$\\varphi: \\Delta \\to \\CC^2$? such that ?$\\varphi(0) = p$? and ?$\\varphi(\\Delta) \\cap C = 0$? if and only if ?$C$? is a complex line or ?$C$? does not contain any complex line. In the fourth chapter the following is proved: Let ?$X$? be a Stein manifold of the dimension at least 2. Given a complete pluripolar set ?$Y \\subset X$?, a point ?$p \\in Y \\setminus X$? and a vector ?$V$? tangent to ?$X$? at ?$p$?, there exists a proper holomorphic map ?$f: \\Delta \\to X$? such that ?$f(0) = p$?, ?$f'(0) = \\lambda V$? for some ?$\\lambda > 0$? and ?$f(\\Delta) \\cap Y = 0$?"},{"@xml:lang":"sl","#text":"Obravnavamo prave holomorfne preslikave z diska v Steinovo mnogoterost. Delo je razdeljeno na štiri poglavja. V uvodnem poglavju ponovimo definicije in izreke, ki jih potrebujemo v nadaljevanju. Za motivacijo rezultatov te disertacije navedemo nekaj sorodnih rezultatov in odprtih problemov. V drugem poglavju se ukvarjamo s problemom obstoja pravega holomorfnega diska v Steinovi mnogoterosti, ki ima v sliki poljubno diskretno množico. Dokažemo, da za dano diskretno podmnožico ?$S$? v povezani Steinovi mnogoterosti ?$X$? obstaja prava holomorfna imerzija ?$f$? z diska v ?$X$?, ki ima množico ?$S$? v sliki;, če je ?$\\dim X \\ge 3$?, lahko dosežemo, da je ?$f$? vložitev. V točkah iz ?$S$? lahko predpišemo še dotike višjega reda z danimi enorazsežnimi podmnogoterostmi v ?$X$?. V tretjem poglavju se ukvarjano z obstojem pravih analitičnih diskov v komplementih zaprtih konveksnih množic. Naj bo ?$C$? zaprta konveksna podmnožica v ?$\\CC^2$?. Dokažemo da velja: za vsako točko ?$p \\in \\CC^2 \\setminus C$? obstaja prava holomorfna preslikava z diska v ?$\\CC^2$? s sliko v ?$\\CC^2 \\setminus C$?, ki zadene točko ?$p$? natanko tedaj, kadar je ?$C$? bodisi kompleksna premica bodisi ?$C$? ne vsebuje nobene kompleksne premice. V četrtem poglavju konstruiramo pravo holomorfno preslikavo z diska v Steinovo mnogoterost, katere slika ne seka dane kompletne pluripolarne množice"},{"@xml:lang":"sl","#text":"doktorska disertacija"}],"edm:type":"TEXT","dc:type":[{"@xml:lang":"sl","#text":"visokošolska dela"},{"@xml:lang":"en","#text":"theses and dissertations"},{"@rdf:resource":"http://www.wikidata.org/entity/Q1266946"}]},"ore:Aggregation":{"@rdf:about":"http://www.dlib.si/?URN=URN:NBN:SI:DOC-L33RLGVX","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-L33RLGVX"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-L33RLGVX/c121183a-00c1-45ef-85af-d80df3f3037f/PDF"},"edm:rights":{"@rdf:resource":"http://rightsstatements.org/vocab/InC/1.0/"},"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 v Ljubljani, Fakulteta za matematiko in fiziko"},"edm:object":{"@rdf:resource":"http://www.dlib.si/streamdb/URN:NBN:SI:DOC-L33RLGVX/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-L33RLGVX"}}}}