The Universal Structure of Categories, Wiltschko

Автор: Mac Lane
Название: Categories for the Working Mathematician
ISBN: 0387984038 ISBN-13(EAN): 9780387984032
Издательство: Springer
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Описание: This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

Автор: Crole
Название: Categories for Types
ISBN: 0521450926 ISBN-13(EAN): 9780521450928
Издательство: Cambridge Academ
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Описание: This textbook explains the basic principles of categorical type theory and the techniques used to derive categorical semantics for specific type theories.

Автор: Walters
Название: Categories and Computer Science
ISBN: 0521419972 ISBN-13(EAN): 9780521419970
Издательство: Cambridge Academ
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Описание: This textbook has been enriched with many computer science related topics and, although its aim is to give an introduction to categories for students of computer science, it retains a level of mathematical correctness that will broaden its appeal to include students of mathematics as well.

Автор: John C. Baez; J. Peter May
Название: Towards Higher Categories
ISBN: 1441915230 ISBN-13(EAN): 9781441915238
Издательство: Springer
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Описание: Here is a guide to the theory of higher categorical structures. The main focus of the book is on the richness to be found in the theory of bicategories, which gives the essential starting point towards the understanding of higher categorical structures.

Автор: Pesetsky, David
Название: Russian Case Morphology and the Syntactic Categories
ISBN: 026252502X ISBN-13(EAN): 9780262525022
Издательство: MIT Press
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Описание:

A proposal for a radical new view of case morphology, supported by a detailed investigation of some of the thorniest topics in Russian grammar.

In this book, David Pesetsky argues that the peculiarities of Russian nominal phrases provide significant clues concerning the syntactic side of morphological case. Pesetsky argues against the traditional view that case categories such as nominative or genitive have a special status in the grammar of human languages. Supporting his argument with a detailed analysis of a complex array of morpho-syntactic phenomena in the Russian noun phrase (with brief excursions to other languages), he proposes instead that the case categories are just part-of-speech features copied as morphology from head to dependent as syntactic structure is built.

Pesetsky presents a careful investigation of one of the thorniest topics in Russian grammar, the morpho-syntax of noun phrases with numerals (including those traditionally called the paucals). He argues that these bewilderingly complex facts can be explained if case categories are viewed simply as parts of speech, assigned as morphology. Pesetsky's analysis is notable for offering a new theoretical perspective on some of the most puzzling areas of Russian grammar, a highly original account of nominal case that significantly affects our understanding of an important property of language.