The Kakeya conjecture in two dimensions

dc.rights.license	CC-BY-NC-ND
dc.contributor.advisor	Ziltener, F. J.
dc.contributor.author	Horikx, P.
dc.date.accessioned	2017-08-23T17:01:50Z
dc.date.available	2017-08-23T17:01:50Z
dc.date.issued	2017
dc.identifier.uri	https://studenttheses.uu.nl/handle/20.500.12932/26995
dc.description.abstract	We investigate the proof of the Kakeya conjecture in two dimensions, which states that every set which contains a unit line segment in every direction of the plane must have Hausdorff dimension of 2. In this case, we look at a theorem which states that every subset of the plane which contains a line in every direction must have Hausdorff dimension of at least 2. We also construct a set with a line segment in every direction which has 2-dimensional Hausdorff measure 0.
dc.description.sponsorship	Utrecht University
dc.format.extent	432497
dc.format.mimetype	application/pdf
dc.language.iso	en
dc.title	The Kakeya conjecture in two dimensions
dc.type.content	Bachelor Thesis
dc.rights.accessrights	Open Access
dc.subject.courseuu	Wiskunde