Multijoints and multilinear duality
dc.contributor.advisor
Carbery, Anthony
dc.contributor.advisor
Gimperlein, Heiko
dc.contributor.author
Michael Chi Yung, Tang
dc.date.accessioned
2022-05-25T10:37:28Z
dc.date.available
2022-05-25T10:37:28Z
dc.date.issued
2022-05-25
dc.description.abstract
The joints problem is related to geometric questions at the heart of harmonic
analysis. In three dimensions, a joint is a point of intersection of three lines that
do not lie within a common plane. Given a collection of lines, one can ask how
many joints those lines can form { this is the joints problem.
\Duality" describes the relationship between two complementary problems that
are distinct but logically equivalent. Any two such problems are said to be dual
to one another. The problem that is dual to the joints problem looks to understand
geometric properties which abstract on the conventional notion of volume.
Understanding this geometric problem is the aim of this thesis.
en
dc.identifier.uri
https://hdl.handle.net/1842/39003
dc.identifier.uri
http://dx.doi.org/10.7488/era/2254
dc.language.iso
en
en
dc.publisher
The University of Edinburgh
en
dc.title
Multijoints and multilinear duality
en
dc.type
Thesis or Dissertation
en
dc.type.qualificationlevel
Doctoral
en
dc.type.qualificationname
PhD Doctor of Philosophy
en
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