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Category Theory

Steve Awodey

Published in print:
2006
Published Online:
September 2007
ISBN:
9780198568612
eISBN:
9780191717567
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780198568612.001.0001
Subject:
Mathematics, Algebra

This book is a text and reference book on Category Theory, a branch of abstract algebra. The book contains clear definitions of the essential concepts, which are illuminated with numerous accessible ... More


Developing Cross Cultural Measurement

Thanh V. Tran

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195325089
eISBN:
9780199864515
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195325089.001.0001
Subject:
Social Work, Research and Evaluation

This book provides an overview of issues and techniques relevant to the development of cross-cultural measures and provides a step-by-step approach to the assessment of cross-cultural equivalence of ... More


An Introduction to Auction Theory

Flavio M. Menezes and Paulo K. Monteiro

Published in print:
2004
Published Online:
April 2005
ISBN:
9780199275984
eISBN:
9780191602214
Item type:
book
Publisher:
Oxford University Press
DOI:
10.1093/019927598X.001.0001
Subject:
Economics and Finance, Microeconomics

This book presents an in-depth discussion of the auction theory. It introduces the concept of Bayesian Nash equilibrium and the idea of studying auctions as games. Private, common, and affiliated ... More


Flips and Flops

D. Huybrechts

in Fourier-Mukai Transforms in Algebraic Geometry

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.003.0011
Subject:
Mathematics, Geometry / Topology

This chapter presents a series of results that elucidate the relation between D-equivalence and K-equivalence. Derived categories are first studied. These results can then be used to show that the ... More


Triangulated Categories

D. Huybrechts

in Fourier-Mukai Transforms in Algebraic Geometry

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.003.0001
Subject:
Mathematics, Geometry / Topology

Reviewing the basic notions of additive and abelian categories, left and right adjoint functors, and Serre functors, this chapter is mainly devoted to triangulated categories. In particular, criteria ... More


Derived Category and Canonical Bundle --II

D. Huybrechts

in Fourier-Mukai Transforms in Algebraic Geometry

Published in print:
2006
Published Online:
September 2007
ISBN:
9780199296866
eISBN:
9780191711329
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780199296866.003.0006
Subject:
Mathematics, Geometry / Topology

Based on the work of Orlov, Kawamata, and others, this chapter shows that the (numerical) Kodaira dimension and the canonical ring are preserved under derived equivalence. The same techniques can be ... More


Spaces of PL Manifolds and Categories of Simple Maps (AM-186)

Friedhelm Waldhausen, Bjørn Jahren, and John Rognes

Published in print:
2013
Published Online:
October 2017
ISBN:
9780691157757
eISBN:
9781400846528
Item type:
book
Publisher:
Princeton University Press
DOI:
10.23943/princeton/9780691157757.001.0001
Subject:
Mathematics, Geometry / Topology

Since its introduction by the author in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a ... More


The View from General Relativity

Harvey R. Brown

in Physical Relativity: Space-time structure from a dynamical perspective

Published in print:
2005
Published Online:
September 2006
ISBN:
9780199275830
eISBN:
9780191603914
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/0199275831.003.0009
Subject:
Philosophy, Philosophy of Science

In his 1923 book The Mathematical Theory of Relativity, Arthur Eddington distinguished between two chains of reasoning in general relativity. The first familiar one starts with the existence of the ... More


Assessing Measurement Equivalence Assessing Measurement Equivalence

Thanh V. Tran

in Developing Cross Cultural Measurement

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195325089
eISBN:
9780199864515
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195325089.003.0006
Subject:
Social Work, Research and Evaluation

In comparative research — whether it is cross-cultural, cross-national, or multigroup comparison — the assumption of measurement equivalence is crucially important. If nonequivalent measures were ... More


Testing Cross-Cultural Measurement Invariance: LISREL Applications LISREL Applications

Thanh V. Tran

in Developing Cross Cultural Measurement

Published in print:
2009
Published Online:
May 2009
ISBN:
9780195325089
eISBN:
9780199864515
Item type:
chapter
Publisher:
Oxford University Press
DOI:
10.1093/acprof:oso/9780195325089.003.0007
Subject:
Social Work, Research and Evaluation

There has been a general consensus that multigroup (sample) confirmatory factor analysis offers a strong approach to evaluate cross-cultural equivalence of measurement properties. Researchers have ... More


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