Category Structures

DOWNLOAD

Download Category Structures PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Category Structures book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Categories For The Working Mathematician

DOWNLOAD
Author : Saunders Mac Lane
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Categories For The Working Mathematician written by Saunders Mac Lane and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is onsymmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.

Model Categories And Their Localizations

DOWNLOAD
Author : Philip S. Hirschhorn
language : en
Publisher: American Mathematical Soc.
Release Date : 2003

Model Categories And Their Localizations written by Philip S. Hirschhorn and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Homotopy theory categories.

The aim of this book is to explain modern homotopy theory in a manner accessible to graduate students yet structured so that experts can skip over numerous linear developments to quickly reach the topics of their interest. Homotopy theory arises from choosing a class of maps, called weak equivalences, and then passing to the homotopy category by localizing with respect to the weak equivalences, i.e., by creating a new category in which the weak equivalences are isomorphisms. Quillen defined a model category to be a category together with a class of weak equivalences and additional structure useful for describing the homotopy category in terms of the original category. This allows you to make constructions analogous to those used to study the homotopy theory of topological spaces. A model category has a class of maps called weak equivalences plus two other classes of maps, called cofibrations and fibrations. Quillen's axioms ensure that the homotopy category exists and that the cofibrations and fibrations have extension and lifting properties similar to those of cofibration and fibration maps of topological spaces. During the past several decades the language of model categories has become standard in many areas of algebraic topology, and it is increasingly being used in other fields where homotopy theoretic ideas are becoming important, including modern algebraic $K$-theory and algebraic geometry. All these subjects and more are discussed in the book, beginning with the basic definitions and giving complete arguments in order to make the motivations and proofs accessible to the novice. The book is intended for graduate students and research mathematicians working in homotopy theory and related areas.

Complicial Sets Characterising The Simplicial Nerves Of Strict Omega Categories

DOWNLOAD
Author : Dominic Verity
language : en
Publisher: American Mathematical Soc.
Release Date : 2008

Complicial Sets Characterising The Simplicial Nerves Of Strict Omega Categories written by Dominic Verity and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

The primary purpose of this work is to characterise strict $\omega$-categories as simplicial sets with structure. The author proves the Street-Roberts conjecture in the form formulated by Ross Street in his work on Orientals, which states that they are exactly the ``complicial sets'' defined and named by John Roberts in his handwritten notes of that title (circa 1978). On the way the author substantially develops Roberts' theory of complicial sets itself and makes contributions to Street's theory of parity complexes. In particular, he studies a new monoidal closed structure on the category of complicial sets which he shows to be the appropriate generalisation of the (lax) Gray tensor product of 2-categories to this context. Under Street's $\omega$-categorical nerve construction, which the author shows to be an equivalence, this tensor product coincides with those of Steiner, Crans and others.

Analogical Reasoning

DOWNLOAD
Author : D.H. Helman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Analogical Reasoning written by D.H. Helman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-29 with Philosophy categories.

In the last few years, there has been an enormous amount of activity in the study of analogy and metaphor. This is partly because of an interest of artificial intelligence researchers in simulating learning processes using analogy. It also arises from critical examinations of standard theories in the philosophy of language, with their inbuilt literal/meta phoric distinction. This volume consists of recent previously unpub lished work in this area, with a particular emphasis upon the role of analogies in reasoning and, more generally, their role in thought and language. The papers are contributed by philosophers, computer scientists, cognitive scientists and literary critics. Researchers in these fields whose focus is the study of analogy and metaphor will find much of interest in this volume. These essays can also serve as an introduction to some of the major approaches taken in the investigation of analogy. As noted, this volume brings together the work of researchers in several different disciplines. The various approaches taken with respect to the understanding of analogy tend to be rather different, however, the articles suggest a common conclusion. Analogy and metaphor pervade thought and language; their close investigation thus constitutes a valuable contribution to our understanding of persons. DAVID H. HELMAN Case Western Reserve University vii PART I CONCEPTUAL AND CATEGORICAL THEORIES OF ANALOGICAL UNDERSTANDING MARK TURNER CATEGORIES AND ANALOGIES I want to pursue the following claims: The way we categorize helps explain the way we recognize a statement as an analogy.

The Oxford Handbook Of Cognitive Science

DOWNLOAD
Author : Susan F. Chipman
language : en
Publisher: Oxford University Press
Release Date : 2017

The Oxford Handbook Of Cognitive Science written by Susan F. Chipman and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Computers categories.

The Oxford Handbook of Cognitive Science emphasizes the research and theory most central to modern cognitive science: computational theories of complex human cognition. Additional facets of cognitive science are discussed in the handbook's introductory chapter.

Design Of Wood Structures Asd Lrfd

DOWNLOAD
Author : Donald E. Breyer
language : en
Publisher: McGraw Hill Professional
Release Date : 2014-09-05

Design Of Wood Structures Asd Lrfd written by Donald E. Breyer and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-09-05 with Technology & Engineering categories.

THE DEFINITIVE WOOD STRUCTURE DESIGN GUIDE -- FULLY UPDATED Thoroughly revised to incorporate the latest codes and standards, the seventh edition of this comprehensive resource leads you through the complete design of a wood structure following the same sequence of materials and elements used in actual design. Detailed equations, clearillustrations, and practical design examples are featured throughout the text. THIS NEW EDITION: Conforms to the 2012 International Building Code (IBC) Addresses the new 2012 National Design Specification for Wood Construction (NDS) Contains dual-format Allowable Stress Design/Load and Resistance Factor Design (ASD/LRFD) specifications,equations, and problems Includes ASCE/SEI 7-10 load provisions DESIGN OF WOOD STRUCTURES--ASD/LRFD, SEVENTH EDITION, COVERS: Wood buildings and design criteria Design loads Behavior of structures under loads and forces Properties of wood and lumber grades Structural glued laminated timber Beam design Axial forces and combined loading Wood structural panels Diaphragms Shearwalls Wood connections Nailed connections Bolts, lag bolts, and other connectors Connection details and hardware Diaphragm-to-shearwall anchorage Advanced topics in lateral force design

2024 International Building Code Illustrated Handbook

DOWNLOAD
Author : International Code Council
language : en
Publisher: McGraw Hill Professional
Release Date : 2025-02-07

2024 International Building Code Illustrated Handbook written by International Code Council and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-07 with Architecture categories.

With 600+ illustrations, the go-to resource for building code compliance has been updated with critical new information for properly interpreting and applying IBC provisions Whether you’re an architect, engineer, contractor, building manager, or municipal official involved in construction, the 2024 International Building Code® Illustrated Handbook provides everything you need to understand the latest building code provisions. This edition features an update to structural loads based on reference to ASCE/SEI 7-22 Minimum Design Loads and Associated Criteria for Buildings and Other Structures. Covering all the key IBC changes, the 2024 International Building Code® Illustrated Handbook will help you understand complex code provisions to achieve compliance. This edition features updates to: Steel, wood, concrete and masonry standards Guards on retaining walls NFPA 13R sprinkler protection for apartment buildings Egress requirements for occupiable roofs Loadbearing exterior wall provisions for Type III construction Fire resistance of exterior walls Facilities involved in lithium-ion and lithium metal batteries Public occupancy temporary structures

The Riverside Natural History

DOWNLOAD
Author : John Sterling Kingsley
language : en
Publisher:
Release Date : 1888

The Riverside Natural History written by John Sterling Kingsley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1888 with categories.

Comparative Anatomy Of The Vegetative Organs Of The Phanerogams And Ferns

DOWNLOAD
Author : Anton de Bary
language : en
Publisher:
Release Date : 1884

Comparative Anatomy Of The Vegetative Organs Of The Phanerogams And Ferns written by Anton de Bary and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1884 with Ferns categories.

Aircraft Structures And Materials Application

DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1969

Aircraft Structures And Materials Application written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Airplanes categories.