{"?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-5GBRHESD/4a79bb72-8465-45f4-af9e-5ad6660d6bba/HTML","dcterms:extent":"330 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5GBRHESD/74c5d6d1-be41-4284-b050-6743c8adefab/PDF","dcterms:extent":"518 KB"},{"@rdf:about":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5GBRHESD/93708a68-4b72-4dce-bda2-ae5c735c16e6/TEXT","dcterms:extent":"184 KB"}],"edm:ProvidedCHO":{"@rdf:about":"URN:NBN:SI:DOC-5GBRHESD","dcterms:issued":"2000","dc:contributor":"Forstnerič, Franc","dc:creator":"Prezelj-Perman, Jasna","dc:format":[{"@xml:lang":"sl","#text":"87 f., 30 cm"},{"@xml:lang":"sl","#text":"88 strani"}],"dc:identifier":["COBISSID:9997657","URN:URN:NBN:SI:doc-5GBRHESD"],"dc:language":"sl","dc:publisher":{"@xml:lang":"sl","#text":"J. Prezelj"},"dc:source":{"@xml:lang":"sl","#text":"visokošolska dela"},"dc:subject":[{"@xml:lang":"sl","#text":"Disertacije"},{"@xml:lang":"sl","#text":"holomorfna submerzija"},{"@xml:lang":"sl","#text":"holomorfna vložitev"},{"@xml:lang":"sl","#text":"holomorfni prerez"},{"@xml:lang":"sl","#text":"homotopski principi"},{"@xml:lang":"sl","#text":"kompleksna analiza"},{"@xml:lang":"sl","#text":"kompleksni prostor"},{"@xml:lang":"sl","#text":"Steinov prostor"},{"@xml:lang":"sl","#text":"tangentni prostor"}],"dc:title":{"@xml:lang":"sl","#text":"Homotopski princip za submerzije s sprayem nad Steinovimi prostori| doktorska disertacija|"},"dc:description":[{"@xml:lang":"sl","#text":"The first part contains a proof of the homotopy principle for holomorphic submersions with sprays: \"Let ?$Z$? be a complex space, ?$X$? Stein space, ?$h: Z \\to Z$? surjective holomorphic submersion which locally admits a spray, ?$P$? a compact Hausdorff space and ?$a_p: X \\to Z$?, ?$p \\in P$?, a continuous family of continuous sections of submersion ?$h: Z \\to X$?. Then there exist a continuous family of continuous sections ?$a_{p,t}: X \\to Z$?, ?$p \\in P$?, ?$t \\in 0,1$?, of ?$h: Z \\to X$?, such that ?$a_{p,0} = a_p$?, ?$p \\in P$? and the section ?$a_{p,1}: X \\to Z$? is holomorphic for each ?$p \\in P$?.\" The second part is an embedding theorem for Stein manifolds with interpolation on discrete sets. \"Let ?$X$? be an ?$n$?-dimensional Stein manifold, ?$Y \\subset X$? a discrete subset and ?$\\varphi: Y \\to \\Cc^{n+q}$? a proper injective map. If ?$n=1$? and ?$q \\ge 2$? or ?$n>1$? and ?$q \\ge \\max \\left{ \\left \\frac{n+1}{2} \\right + 1,3 \\right}$? then there exist a proper holomorphic enbedding ?$\\Phi: X \\to \\Cc^{n+q}$? extending ?$\\varphi$?.\""},{"@xml:lang":"sl","#text":"V prvem delu je dokazan homotopski princip za submerzije s sprayi: \"Naj bo ?$Z$? kompleksen prostor, ?$X$? Steinov prostor, ?$h: Z \\to Z$? surjektivna holomorfna submerzija, ki lokalno dopušča spray, ?$P$? kompakten Hausdorffov prostor in ?$a_p: X \\to Z$?, ?$p \\in P$?, zvezna družina zveznih prerezov submerzije ?$h: Z \\to X$?. Potem obstaja taka zvezna družina zveznih prerezov ?$a_{p,t}: X \\to Z$?, ?$p \\in P$?, ?$t \\in 0,1$?, da je ?$a_{p,0} = a_p$?, ?$p \\in P$? in je za vsak ?$p \\in P$? prerez ?$a_{p,1}: X \\to Z$? holomorfen.\" Glavni izrek v drugem delu je vložitveni izrek za Steinove mnogoterosti z interpolacijo na diskretnih množicah. \"Naj bo ?$X$? ?$n$?-dimenzionalna Steinova mnogoterost, ?$Y \\subset X$? diskretna podmnožica in ?$\\varphi: Y \\to \\Cc^{n+q}$? prava injekcija. Če je ?$n=1$? in ?$q \\ge 2$? ali ?$n>1$?in ?$q \\ge \\max \\left{ \\left \\frac{n+1}{2} \\right + 1,3\\right}$?, obstaja pravaholomorfna vložitwv ?$\\Phi: X \\to \\Cc^{n+q}$?, ki razširi ?$\\varphi$?.\""},{"@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-5GBRHESD","edm:aggregatedCHO":{"@rdf:resource":"URN:NBN:SI:DOC-5GBRHESD"},"edm:isShownBy":{"@rdf:resource":"http://www.dlib.si/stream/URN:NBN:SI:DOC-5GBRHESD/74c5d6d1-be41-4284-b050-6743c8adefab/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-5GBRHESD/maxi/edm"},"edm:isShownAt":{"@rdf:resource":"http://www.dlib.si/details/URN:NBN:SI:DOC-5GBRHESD"}}}}