Potential Wadge Classes

Potential Wadge Classes
Author: Dominique Lecomte
Publisher: American Mathematical Soc.
Total Pages: 95
Release: 2013-01-25
Genre: Mathematics
ISBN: 0821875574

Let $\bf\Gamma$ be a Borel class, or a Wadge class of Borel sets, and $2\!\leq\! d\!\leq\!\omega$ be a cardinal. A Borel subset $B$ of ${\mathbb R}^d$ is potentially in $\bf\Gamma$ if there is a finer Polish topology on $\mathbb R$ such that $B$ is in $\bf\Gamma$ when ${\mathbb R}^d$ is equipped with the new product topology. The author provides a way to recognize the sets potentially in $\bf\Gamma$ and applies this to the classes of graphs (oriented or not), quasi-orders and partial orders.

Logic, Methodology and Philosophy of Science IX

Logic, Methodology and Philosophy of Science IX
Author: Dag Prawitz
Publisher: Elsevier
Total Pages: 1006
Release: 1994
Genre: Electronic books
ISBN: 0444893415

This volume is the product of the Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science and contains the text of most of the invited lectures. Divided into 15 sections, the book covers a wide range of different issues. The reader is given the opportunity to learn about the latest thinking in relevant areas other than those in which they themselves may normally specialise.

Logic, Methodology and Philosophy of Science IX

Logic, Methodology and Philosophy of Science IX
Author: D. Prawitz
Publisher: Elsevier
Total Pages: 1005
Release: 1995-01-10
Genre: Mathematics
ISBN: 0080544959

This volume is the product of the Proceedings of the 9th International Congress of Logic, Methodology and Philosophy of Science and contains the text of most of the invited lectures. Divided into 15 sections, the book covers a wide range of different issues. The reader is given the opportunity to learn about the latest thinking in relevant areas other than those in which they themselves may normally specialise.

On the Regularity of the Composition of Diffeomorphisms

On the Regularity of the Composition of Diffeomorphisms
Author: H. Inci
Publisher: American Mathematical Soc.
Total Pages: 72
Release: 2013-10-23
Genre: Mathematics
ISBN: 0821887416

For M a closed manifold or the Euclidean space Rn we present a detailed proof of regularity properties of the composition of Hs-regular diffeomorphisms of M for s > 12dim⁡M+1.

The Politics of Race, Class and Special Education

The Politics of Race, Class and Special Education
Author: Sally Tomlinson
Publisher: Routledge
Total Pages: 198
Release: 2014-05-09
Genre: Education
ISBN: 131774554X

In the World Library of Educationalists series, international experts themselves compile career-long collections of what they judge to be their finest pieces – extracts from books, key articles, salient research findings, major theoretical and practical contributions – so the world can read them in a single manageable volume. Readers will be able to follow the themes and strands and see how their work contributes to the development of the field. Professor Sally Tomlinson brings together 12 of her key writings in one place, including chapters from her best-selling books and articles from leading journals. In this landmark publication she reviews and recounts the history and development of her research and writing over 30 years that is concerned with the politics of education systems, especially special education, and the place of social classes and ethnic and racial minorities in the systems. Social class, race and gender have historically always been essential markers in deciding who would receive a minimum or inferior education and thus fail to obtain whatever were currently acceptable qualifications. Definitions of the ‘less able’ or ineducable were based on beliefs in the biological and cultural inferiority of lower social classes, racial and immigrant groups. Professor Tomlinson’s aim in her work has always been to introduce sociological, historical and political perspectives into an area dominated by psychological, administrative and technical views and to explain how the individual ‘problems’ were connected to wider social structures and policies. This unique collection illustrates the development of Professor Tomlinson’s thinking over the course of her long and esteemed career.

New Class Society

New Class Society
Author: Robert Perrucci
Publisher: Rowman & Littlefield
Total Pages: 472
Release: 2008
Genre: Social Science
ISBN: 9780742545540

This book explores how class-based resources and interests embedded in large organizations are linked to powerful structures and processes which in turn are rapidly polarizing the U.S. into a highly unequal, 'double diamond' class structure. The authors show how and why American class membership in the 21st century is based on an organizationally-based distribution of critical resources including income, investment capital, credentialed skills verified by elite schools, and social connections to organizational leaders.