Amalgamation functors and homology groups in model theory

John Goodrick; Byunghan Kim; Alexei Kolesnikov

Amalgamation functors and homology groups in model theory

John Goodrick, Byunghan Kim, Alexei Kolesnikov

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

5 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 language	English
Title of host publication	Invited Lectures
Editors	Sun Young Jang, Young Rock Kim, Dae-Woong Lee, Ikkwon Yie
Publisher	KYUNG MOON SA Co. Ltd.
Pages	41-58
Number of pages	18
ISBN (Electronic)	9788961058056
Publication status	Published - 2014
Event	2014 International Congress of Mathematicans, ICM 2014 - Seoul, Korea, Republic of Duration: 2014 Aug 13 → 2014 Aug 21

Publication series

Name	Proceeding of the International Congress of Mathematicans, ICM 2014
Volume	2

Conference

Conference	2014 International Congress of Mathematicans, ICM 2014
Country/Territory	Korea, Republic of
City	Seoul
Period	14/8/13 → 14/8/21

Bibliographical note

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

All Science Journal Classification (ASJC) codes

General Mathematics

Cite this

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title = "Amalgamation functors and homology groups in model theory",

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.",

keywords = "Amalgamation functors, Groupoids, Homology groups, Hurewicz correspondence, Model theory",

author = "John Goodrick and Byunghan Kim and Alexei Kolesnikov",

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year = "2014",

language = "English",

series = "Proceeding of the International Congress of Mathematicans, ICM 2014",

publisher = "KYUNG MOON SA Co. Ltd.",

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Amalgamation functors and homology groups in model theory. / Goodrick, John; Kim, Byunghan; Kolesnikov, Alexei.
Invited Lectures. ed. / Sun Young Jang; Young Rock Kim; Dae-Woong Lee; Ikkwon Yie. KYUNG MOON SA Co. Ltd., 2014. p. 41-58 (Proceeding of the International Congress of Mathematicans, ICM 2014; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Amalgamation functors and homology groups in model theory

AU - Goodrick, John

AU - Kim, Byunghan

AU - Kolesnikov, Alexei

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

KW - Amalgamation functors

KW - Groupoids

KW - Homology groups

KW - Hurewicz correspondence

KW - Model theory

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M3 - Conference contribution

AN - SCOPUS:85013636790

T3 - Proceeding of the International Congress of Mathematicans, ICM 2014

SP - 41

EP - 58

BT - Invited Lectures

A2 - Jang, Sun Young

A2 - Kim, Young Rock

A2 - Lee, Dae-Woong

A2 - Yie, Ikkwon

PB - KYUNG MOON SA Co. Ltd.

T2 - 2014 International Congress of Mathematicans, ICM 2014

Y2 - 13 August 2014 through 21 August 2014

ER -

Amalgamation functors and homology groups in model theory

Abstract

Publication series

Conference

Bibliographical note

All Science Journal Classification (ASJC) codes

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Cite this