<div class="csl-bib-body">
<div class="csl-entry">Beiglböck, M. (2004). <i>Filters in number theory and combinatorics</i> [Dissertation, Technische Universität Wien]. reposiTUm. https://resolver.obvsg.at/urn:nbn:at:at-ubtuw:1-12796</div>
</div>
We are mainly concerned with certain applications of abstract topological methods to Combinatorics and Number Theory. The Stone-Cech Compactification beta S of a discrete semigroup S consists of the properly topologized set of ultrafilters on S. This structure provides surprisingly simple proofs of the Theorems of Hindman and van der Waerden. We derive new results about the algebraic structure of beta S and apply them to give different strengthenings of the Theorems mentioned above.<br />Some emphasis is put on Ramsey Theoretic results dealing with substructures of the positive integers which are large in an additive as well as in a multiplicative sense.
de
dc.description.abstract
Abstract nicht verfügbar
en
dc.language
English
-
dc.language.iso
en
-
dc.rights.uri
http://rightsstatements.org/vocab/InC/1.0/
-
dc.subject
Ultrafilter
de
dc.subject
Stone-Čech-Kompaktifizierung
de
dc.subject
Halbgruppe
de
dc.subject
Zahlentheorie
de
dc.subject
Kombinatorik
de
dc.title
Filters in number theory and combinatorics
en
dc.type
Thesis
en
dc.type
Hochschulschrift
de
dc.rights.license
In Copyright
en
dc.rights.license
Urheberrechtsschutz
de
dc.contributor.affiliation
TU Wien, Österreich
-
dc.rights.holder
Mathias Beiglböck
-
tuw.version
vor
-
tuw.thesisinformation
Technische Universität Wien
-
dc.contributor.assistant
Winkler, Reinhard
-
tuw.publication.orgunit
E104 - Institut für Diskrete Mathematik und Geometrie
-
dc.type.qualificationlevel
Doctoral
-
dc.identifier.libraryid
AC04346936
-
dc.description.numberOfPages
91
-
dc.identifier.urn
urn:nbn:at:at-ubtuw:1-12796
-
dc.thesistype
Dissertation
de
dc.thesistype
Dissertation
en
tuw.author.orcid
0000-0003-3787-2155
-
dc.rights.identifier
In Copyright
en
dc.rights.identifier
Urheberrechtsschutz
de
tuw.advisor.staffStatus
external
-
tuw.assistant.staffStatus
staff
-
item.languageiso639-1
en
-
item.openairetype
doctoral thesis
-
item.grantfulltext
open
-
item.fulltext
with Fulltext
-
item.cerifentitytype
Publications
-
item.mimetype
application/pdf
-
item.openairecristype
http://purl.org/coar/resource_type/c_db06
-
item.openaccessfulltext
Open Access
-
crisitem.author.dept
E105 - Institut für Stochastik und Wirtschaftsmathematik
