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## Graphs and Homomorphisms

*Pavol Hell and Jaroslav Nesetril*

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198528173
- eISBN:
- 9780191713644
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528173.001.0001
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. This text is devoted entirely to the subject, bringing ... More

## THE PARTIAL ORDER OF GRAPHS AND HOMOMORPHISMS

*Pavol Hell and Jaroslav Nešetřil*

### in Graphs and Homomorphisms

- Published in print:
- 2004
- Published Online:
- September 2007
- ISBN:
- 9780198528173
- eISBN:
- 9780191713644
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198528173.003.0003
- Subject:
- Mathematics, Combinatorics / Graph Theory / Discrete Mathematics

This chapter considers the order homomorphisms induce on the set of all cores; this order is rich enough to represent all countable partial orders. Antichains in the homomorphism order are discussed, ... More

## Pluralism, Incompletely Theorized Agreements, and Public Policy

*Jennifer Prah Ruger*

### in Health and Social Justice

- Published in print:
- 2009
- Published Online:
- February 2010
- ISBN:
- 9780199559978
- eISBN:
- 9780191721489
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199559978.003.0004
- Subject:
- Economics and Finance, Public and Welfare

This chapter draws on social choice theory and proposes incompletely theorized agreements (ITAs) as an approach to collective decision‐making in public policy and human rights. The chapter presents ... More

## Diagrams of Structure: Categories and Functors

*Rocco Gangle*

### in Diagrammatic Immanence: Category Theory and Philosophy

- Published in print:
- 2015
- Published Online:
- September 2016
- ISBN:
- 9781474404174
- eISBN:
- 9781474418645
- Item type:
- chapter

- Publisher:
- Edinburgh University Press
- DOI:
- 10.3366/edinburgh/9781474404174.003.0003
- Subject:
- Philosophy, Metaphysics/Epistemology

This chapter introduces the elementary concepts and operations of category theory. It introduces the notion of category by generalizing from partial orders and systems of functions and then ... More

## Introduction: The International Order: A Framework for Analysis

*Hanns W. Maull*

### in The Rise and Decline of the Post-Cold War International Order

- Published in print:
- 2018
- Published Online:
- November 2018
- ISBN:
- 9780198828945
- eISBN:
- 9780191867422
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198828945.003.0001
- Subject:
- Political Science, International Relations and Politics

This chapter sets out the guiding questions for this volume and develops a comprehensive, integrated framework for analyzing political order across its three major levels. It proposes a concept of ... More

## Cardinals

*Michael Potter*

### in Set Theory and its Philosophy: A Critical Introduction

- Published in print:
- 2004
- Published Online:
- September 2011
- ISBN:
- 9780199269730
- eISBN:
- 9780191699443
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199269730.003.0014
- Subject:
- Philosophy, Logic/Philosophy of Mathematics

This chapter studies the concept of equinumerosity introduced in § 4.8 by means of the following definition: two sets are said to be equinumerous if there is a one-to-one correspondence between them. ... More

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