First order convergence of matroids. (January 2017)
- Record Type:
- Journal Article
- Title:
- First order convergence of matroids. (January 2017)
- Main Title:
- First order convergence of matroids
- Authors:
- Kardoš, František
Král', Daniel
Liebenau, Anita
Mach, Lukáš - Abstract:
- Abstract: The model theory based notion of the first order convergence unifies the notions of the left-convergence for dense structures and the Benjamini–Schramm convergence for sparse structures. It is known that every first order convergent sequence of graphs with bounded tree-depth can be represented by an analytic limit object called a limit modeling. We establish the matroid counterpart of this result: every first order convergent sequence of matroids with bounded branch-depth representable over a fixed finite field has a limit modeling, i.e., there exists an infinite matroid with the elements forming a probability space that has asymptotically the same first order properties. We show that neither of the bounded branch-depth assumption nor the representability assumption can be removed.
- Is Part Of:
- European journal of combinatorics. Volume 59(2017)
- Journal:
- European journal of combinatorics
- Issue:
- Volume 59(2017)
- Issue Display:
- Volume 59, Issue 2017 (2017)
- Year:
- 2017
- Volume:
- 59
- Issue:
- 2017
- Issue Sort Value:
- 2017-0059-2017-0000
- Page Start:
- 150
- Page End:
- 168
- Publication Date:
- 2017-01
- Subjects:
- Combinatorial analysis -- Periodicals
Analyse combinatoire -- Périodiques
Combinatorial analysis
Periodicals
Electronic journals
511.6 - Journal URLs:
- http://www.sciencedirect.com/science/journal/01956698 ↗
http://www.elsevier.com/journals ↗
http://www.idealibrary.com ↗
http://firstsearch.oclc.org ↗
http://firstsearch.oclc.org/journal=0195-6698;screen=info;ECOIP ↗ - DOI:
- 10.1016/j.ejc.2016.08.005 ↗
- Languages:
- English
- ISSNs:
- 0195-6698
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library DSC - 3829.728200
British Library DSC - BLDSS-3PM
British Library HMNTS - ELD Digital store - Ingest File:
- 634.xml