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Citation link
https://nbn-resolving.de/urn:nbn:de:gbv:46-00103422-11

On Complexes of Products and Products of Complexes

Date Issued
2013-09-24
Author(s)
Dlugosch, Martin
Supervisors
Feichtner, Eva-Maria
Referees
Anderson, Laura
Feichtner, Eva-Maria
Abstract
This thesis addresses the various subdivisions of Bergman complexes of matroids. It investigates the relation of those subdivisions with decomposition formulas for supporting matroid types. It shows that for lattice path matroids Bergman complexes are easy to describe. The second part introduces decomposition complexes, which are common generalizations of order complexes, nested set complexes and Bergman complexes definable for all posets and even acyclic categories.
Subjects
Matroid theory

; 

Bergman complexes

; 

nested set complexes

; 

lattice path matroids

; 

decomposition complexes

; 

acyclic categories
Institution
Universität Bremen
Faculty
Fachbereich 03: Mathematik/Informatik (FB 03)
Type
Dissertation
Secondary publication
No
Language
English
File(s)
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Name

00103422-1.pdf

Size

1.16 MB

Format

Adobe PDF

Checksum

(MD5):def1f5518dd5cdecb3e2900c47446fef

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