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

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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  • Cite this

    Goodrick, J., Kim, B., & Kolesnikov, A. (2014). Amalgamation functors and homology groups in model theory. In S. Y. Jang, Y. R. Kim, D-W. Lee, & I. Yie (Eds.), Invited Lectures (pp. 41-58). (Proceeding of the International Congress of Mathematicans, ICM 2014; Vol. 2). KYUNG MOON SA Co. Ltd..