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Higher order complexes of distributive lattices
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).
2015 (English)Independent thesis Advanced level (degree of Master (One Year)), 20 credits / 30 HE creditsStudent thesisAlternative title
Högreordningskomplex för distributiva lattice (Swedish)
Abstract [en]

This thesis explores higher order complexes over distributive lattices and their properties. Computer programs were written to handle these very complex objects, in particular programs that input posets, transform them to distributive lattices, derive the higher order complex of said lattices and then compute their homology groups and ideally also checks if they are shellable. The results of the computer aided exploration inspired proofs of more general results about second order complexes of distributive lattices.

Abstract [sv]

Det här examensarbetet undersöker högre ordningskomplex över distributiva lattice samt deras egenskaper. Datorprogram skrevs för att hantera dessa väldigt komplexa objekt, speci_kt program som tar emot pomängder, transformerar dem till distributiva lattice, tar fram deras ordningskomplex samt beräknar homologigrupper och kollar om de är skalbara. Resultatet av den datorstödda utforskningen ledde till att mer generella resultat kring dessa kunde hittas.

Place, publisher, year, edition, pages
2015.
Series
TRITA-MAT-E, 2015:14
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-165379OAI: oai:DiVA.org:kth-165379DiVA: diva2:811955
Subject / course
Mathematics
Educational program
Master of Science in Engineering -Engineering Physics
Supervisors
Examiners
Available from: 2015-05-13 Created: 2015-04-27 Last updated: 2015-05-13Bibliographically approved

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf