A Handbook Of Model Categories
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A Handbook Of Model Categories
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Author : Scott Balchin
language : en
Publisher: Springer Nature
Release Date : 2021-10-29
A Handbook Of Model Categories written by Scott Balchin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-29 with Mathematics categories.
This book outlines a vast array of techniques and methods regarding model categories, without focussing on the intricacies of the proofs. Quillen model categories are a fundamental tool for the understanding of homotopy theory. While many introductions to model categories fall back on the same handful of canonical examples, the present book highlights a large, self-contained collection of other examples which appear throughout the literature. In particular, it collects a highly scattered literature into a single volume. The book is aimed at anyone who uses, or is interested in using, model categories to study homotopy theory. It is written in such a way that it can be used as a reference guide for those who are already experts in the field. However, it can also be used as an introduction to the theory for novices.
Handbook Of Algebraic Topology
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Author : I.M. James
language : en
Publisher: Elsevier
Release Date : 1995-07-18
Handbook Of Algebraic Topology written by I.M. James and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-07-18 with Mathematics categories.
Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. They provide the researcher with an up-to-date overview of this exciting branch of mathematics.
Homotopy Limit Functors On Model Categories And Homotopical Categories
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Author : William G. Dwyer
language : en
Publisher: American Mathematical Soc.
Release Date : 2004
Homotopy Limit Functors On Model Categories And Homotopical Categories written by William G. Dwyer 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 2004 with Mathematics categories.
The purpose of this monograph, which is aimed at the graduate level and beyond, is to obtain a deeper understanding of Quillen's model categories. A model category is a category together with three distinguished classes of maps, called weak equivalences, cofibrations, and fibrations. Model categories have become a standard tool in algebraic topology and homological algebra and, increasingly, in other fields where homotopy theoretic ideas are becoming important, such as algebraic $K$-theory and algebraic geometry.The authors' approach is to define the notion of a homotopical category, which is more general than that of a model category, and to consider model categories as special cases of this. A homotopical category is a category with only a single distinguished class of maps, called weak equivalences, subject to an appropriate axiom. This enables one to define ""homotopical"" versions of such basic categorical notions as initial and terminal objects, colimit and limit functors, cocompleteness and completeness, adjunctions, Kan extensions, and universal properties.There are two essentially self-contained parts, and part II logically precedes part I. Part II defines and develops the notion of a homotopical category and can be considered as the beginnings of a kind of ""relative"" category theory. The results of part II are used in part I to obtain a deeper understanding of model categories. The authors show in particular that model categories are homotopically cocomplete and complete in a sense stronger than just the requirement of the existence of small homotopy colimit and limit functors. A reader of part II is assumed to have only some familiarity with the above-mentioned categorical notions. Those who read part I, and especially its introductory chapter, should also know something about model categories.
Handbook Of Homotopy Theory
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Author : Haynes Miller
language : en
Publisher: CRC Press
Release Date : 2020-01-23
Handbook Of Homotopy Theory written by Haynes Miller and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Mathematics categories.
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
Handbook Of Research On Critical Thinking And Teacher Education Pedagogy
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Author : Robinson, Sandra P.A.
language : en
Publisher: IGI Global
Release Date : 2019-04-12
Handbook Of Research On Critical Thinking And Teacher Education Pedagogy written by Robinson, Sandra P.A. and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-12 with Education categories.
Critical thinking is an essential skill for learners and teachers alike. Therefore, it is essential that educators be given practical strategies for improving their critical thinking skills as well as methods to effectively provide critical thinking skills to their students. The Handbook of Research on Critical Thinking and Teacher Education Pedagogy examines and explains how new strategies, methods, and techniques in critical thinking can be applied to classroom practice and professional development to improve teaching and learning in teacher education and make critical thinking a tangible objective in instruction. This critical scholarly publication helps to shift and advance the debate on how critical thinking should be taught and offers insights into the significance of critical thinking and its effective integration as a cornerstone of the educational system. Highlighting topics such as early childhood education, curriculum, and STEM education, this book is designed for teachers/instructors, instructional designers, education professionals, administrators, policymakers, researchers, and academicians.
Conn S Handbook Of Models For Human Aging
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Author : Jeffrey L. Ram
language : en
Publisher: Academic Press
Release Date : 2018-04-05
Conn S Handbook Of Models For Human Aging written by Jeffrey L. Ram and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-04-05 with Medical categories.
Conn's Handbook of Models for Human Aging, Second Edition, presents key aspects of biology, nutrition, factors affecting lifespan, methods of age determination, use in research and the disadvantages/advantages of use. Using a multidisciplinary approach, this updated edition is designed as the only comprehensive, current work that covers the diversity in aging models. Chapters on comparative models explore age-related diseases, including Alzheimer's, joint disease, cataracts, cancer and obesity. Also included are new tricks and approaches not available in primary publications. This must-have handbook is an indispensable resource for researchers interested in the mechanisms of aging, gerontologists, health professionals, allied health practitioners and students. - Combines both the methods of study for human aging and animal models - Provides a historical overview and discussion of model availability, key methods and ethical issues - Contains over 200 full color illustrations
Handbook Of Models For Human Aging
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Author : P. Michael Conn
language : en
Publisher: Elsevier
Release Date : 2011-04-28
Handbook Of Models For Human Aging written by P. Michael Conn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-04-28 with Medical categories.
The Handbook of Models for Human Aging is designed as the only comprehensive work available that covers the diversity of aging models currently available. For each animal model, it presents key aspects of biology, nutrition, factors affecting life span, methods of age determination, use in research, and disadvantages/advantes of use. Chapters on comparative models take a broad sweep of age-related diseases, from Alzheimer's to joint disease, cataracts, cancer, and obesity. In addition, there is an historical overview and discussion of model availability, key methods, and ethical issues. - Utilizes a multidisciplinary approach - Shows tricks and approaches not available in primary publications - First volume of its kind to combine both methods of study for human aging and animal models - Over 200 illustrations
Handbook Of Mathematical Logic
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Author : J. Barwise
language : en
Publisher: Elsevier
Release Date : 1982-03-01
Handbook Of Mathematical Logic written by J. Barwise and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982-03-01 with Computers categories.
The handbook is divided into four parts: model theory, set theory, recursion theory and proof theory. Each of the four parts begins with a short guide to the chapters that follow. Each chapter is written for non-specialists in the field in question. Mathematicians will find that this book provides them with a unique opportunity to apprise themselves of developments in areas other than their own.
Handbook Of Structural Equation Modeling
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Author : Rick H. Hoyle
language : en
Publisher: Guilford Publications
Release Date : 2014-01-01
Handbook Of Structural Equation Modeling written by Rick H. Hoyle and has been published by Guilford Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with Psychology categories.
The first comprehensive structural equation modeling (SEM) handbook, this accessible volume presents both the mechanics of SEM and specific SEM strategies and applications. The editor, contributors, and editorial advisory board are leading methodologists who have organized the book to move from simpler material to more statistically complex modeling approaches. Sections cover the foundations of SEM; statistical underpinnings, from assumptions to model modifications; steps in implementation, from data preparation through writing the SEM report; and basic and advanced applications, including new and emerging topics in SEM. Each chapter provides conceptually oriented descriptions, fully explicated analyses, and engaging examples that reveal modeling possibilities for use with readers' data. Many of the chapters also include access to data and syntax files at the companion website, allowing readers to try their hands at reproducing the authors' results.
Handbook Of Tilting Theory
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Author : Lidia Angeleri Hügel
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-04
Handbook Of Tilting Theory written by Lidia Angeleri Hügel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-04 with Mathematics categories.
A handbook of key articles providing both an introduction and reference for newcomers and experts alike.