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Of the non-existence of BLD mappings between manifolds

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dc.contributor Helsingin yliopisto, Matemaattis-luonnontieteellinen tiedekunta, Matematiikan ja tilastotieteen laitos fi
dc.contributor University of Helsinki, Faculty of Science, Department of Mathematics and Statistics en
dc.contributor Helsingfors universitet, Matematisk-naturvetenskapliga fakulteten, Institutionen för matematik och statistik sv
dc.contributor.author Luisto, Rami
dc.date.issued 2011
dc.identifier.uri URN:NBN:fi-fe2015101314886
dc.identifier.uri http://hdl.handle.net/10138/157177
dc.description.abstract In this thesis we study existence ofbounded length distortion(BLD) mappings between manifolds by mimicing the proof of a Varopoulos type result. The restraints mimic the volume-growth invariants of the case of quasiregular maps between Riemannian manifolds. Our basic method is to construct invariants from the 'coarse volumes' of covering spaces, which can be in some situations compared with the combined growth of the original manifold and its fundamental group. en
dc.language.iso eng
dc.publisher Helsingfors universitet sv
dc.publisher University of Helsinki en
dc.publisher Helsingin yliopisto fi
dc.rights This publication is copyrighted. You may download, display and print it for Your own personal use. Commercial use is prohibited.
dc.rights Publikationen är skyddad av upphovsrätten. Den får läsas och skrivas ut för personligt bruk. Användning i kommersiellt syfte är förbjuden.
dc.rights Julkaisu on tekijänoikeussäännösten alainen. Teosta voi lukea ja tulostaa henkilökohtaista käyttöä varten. Käyttö kaupallisiin tarkoituksiin on kielletty.
dc.title Of the non-existence of BLD mappings between manifolds en
dc.type.ontasot pro gradu-avhandlingar sv
dc.type.ontasot pro gradu -tutkielmat fi
dc.type.ontasot master's thesis en
dc.subject.discipline Mathematics en
dc.subject.discipline Matematiikka fi
dc.subject.discipline Matematik sv
dct.identifier.urn URN:NBN:fi-fe2015101314886

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