Amalgamation functors and homology groups in model theory

John Goodrick, Byunghan Kim, Alexei Kolesnikov

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

Abstract

We introduce the concept of an amenable class of functors and define homology groups for such classes. Amenable classes of functors arise naturally in model theory from considering types of independent systems of elements. Basic lemmas for computing these homology groups are established, and we discuss connections with type amalgamation properties.

Original languageEnglish
Title of host publicationInvited Lectures
EditorsSun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
PublisherKYUNG MOON SA Co. Ltd.
Pages41-58
Number of pages18
ISBN (Electronic)9788961058056
Publication statusPublished - 2014
Event2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of
Duration: 2014 Aug 132014 Aug 21

Publication series

NameProceeding of the International Congress of Mathematicans, ICM 2014
Volume2

Conference

Conference2014 International Congress of Mathematicans, ICM 2014
CountryKorea, Republic of
CitySeoul
Period14/8/1314/8/21

Bibliographical note

Funding Information:
The 2nd author was supported by NRF of Korea grant 2013R1A1A2073 702, and Samsung Science Technology Foundation grant BA1301-03. The third author was partially supported by NSF grant DMS-0901315.

Funding Information:
Acknowledements. The 2nd author was supported by NRF of Korea grant 2013R1A1A2073 702, and Samsung Science Technology Foundation grant BA1301-03. The third author was partially supported by NSF grant DMS-0901315.

Publisher Copyright:
© 2014 Proceeding of the International Congress of Mathematicans, ICM 2014. All rights reserved.

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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