Classification Theory

In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there is proof that the negation of the assumption used in Chapter XI implies that in models of T a relation can be defined which orders a large subset of m

This book covers all of the major library classification schemes in use in Europe, UK and US; it includes practical exercises to demonstrate their application. Importantly, classifying electronic resources is also discussed. The aim of the book is to demystify a very complex subject, and to provide a sound theoretical underpinning, together with practical advice and development of practical skills. The book fills the gap between more complex theoretical texts and those books with a purely practical approach. Chapters concentrate purely on classification rather than cataloguing and indexing, ensuring a more in-depth coverage of the topic. Covers the latest Dewey Decimal Classification, 22nd edition Provides practical advice on which schemes will be most suitable for different types of library collection Covers classification of electronic resources and taxonomy construction

A revealing and surprising look at how classification systems can shape both worldviews and social interactions. What do a seventeenth-century mortality table (whose causes of death include "fainted in a bath," "frighted," and "itch"); the identification of South Africans during apartheid as European, Asian, colored, or black; and the separation of machine- from hand-washables have in common? All are examples of classification—the scaffolding of information infrastructures. In Sorting Things Out, Geoffrey C. Bowker and Susan Leigh Star explore the role of categories and standards in shaping the modern world. In a clear and lively style, they investigate a variety of classification systems, including the International Classification of Diseases, the Nursing Interventions Classification, race classification under apartheid in South Africa, and the classification of viruses and of tuberculosis. The authors emphasize the role of invisibility in the process by which classification orders human interaction. They examine how categories are made and kept invisible, and how people can change this invisibility when necessary. They also explore systems of classification as part of the built information environment. Much as an urban historian would review highway permits and zoning decisions to tell a city's story, the authors review archives of classification design to understand how decisions have been made. Sorting Things Out has a moral agenda, for each standard and category valorizes some point of view and silences another. Standards and classifications produce advantage or suffering. Jobs are made and lost; some regions benefit at the expense of others. How these choices are made and how we think about that process are at the moral and political core of this work. The book is an important empirical source for understanding the building of information infrastructures.

The purpose of the present monograph is to systematically develop a classification theory of Riemann surfaces. Some first steps will also be taken toward a classification of Riemannian spaces. Four phases can be distinguished in the chronological background: the type problem; general classification; compactifications; and extension to higher dimensions. The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green's functions. The Riemann mapping theorem laid the foundation to classification theory: there are only two conformal equivalence classes of (noncompact) simply connected regions. Over half a century of efforts by leading mathematicians went into giving a rigorous proof of the theorem: RIEMANN, WEIERSTRASS, SCHWARZ, NEUMANN, POINCARE, HILBERT, WEYL, COURANT, OSGOOD, KOEBE, CARATHEODORY, MONTEL. The classical type problem was to determine whether a given simply connected covering surface of the plane is conformally equivalent to the plane or the disko The problem was in the center of interest in the thirties and early forties, with AHLFORS, KAKUTANI, KOBAYASHI, P. MYRBERG, NEVANLINNA, SPEISER, TEICHMÜLLER and others obtaining incisive specific results. The main problem of finding necessary and sufficient conditions remains, however, unsolved.

This book provides a coherent account of the Theory of Classification. It discusses the contribution made by theoreticians like E.C. Richardson, J.D. Brown, W. Hulum, W.C. Berwick Sayers, H.E. Bliss and S.R. Ranganathan. However, the theory put forward by S.R. Ranganathan predominates the whole book because his contribution is far more than anybody else’s. Five major schemes of Classification, Library of Congress Classification, Colon Classification and Bliss Biblio-Graphic Classification have also been discussed.

Following on from the first edition of this book, the second edition fills the gap between more complex theoretical texts and those books with a purely practical approach. The book looks at major library classification schemes in use in Europe, UK and the USA, and includes practical exercises to demonstrate their application. Importantly, classifying electronic resources is also discussed. Classification in Theory and Practice aims to demystify a very complex subject, and to provide a sound theoretical underpinning, together with practical advice and development of practical skills. Chapters concentrate purely on classification rather than cataloguing and indexing, ensuring a more in-depth coverage of the topic. Covers the latest Dewey Decimal Classification, 23rd edition Provides practical advice on which schemes will be most suitable for different types of library collection Covers classification of digital resources Explores recent developments in digital resources and tagging