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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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