Advances In Two Dimensional Homotopy And Combinatorial Group Theory
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Advances In Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Wolfgang Metzler
language : en
Publisher: Cambridge University Press
Release Date : 2018
Advances In Two Dimensional Homotopy And Combinatorial Group Theory written by Wolfgang Metzler 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 2018 with Mathematics categories.
Presents the current state of knowledge in all aspects of two-dimensional homotopy theory. Useful for both students and experts.
Two Dimensional Homotopy And Combinatorial Group Theory
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Author : Cynthia Hog-Angeloni
language : en
Publisher: Cambridge University Press
Release Date : 1993-12-09
Two Dimensional Homotopy And Combinatorial Group Theory written by Cynthia Hog-Angeloni 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 1993-12-09 with Mathematics categories.
Basic work on two-dimensional homotopy theory dates back to K. Reidemeister and J. H. C. Whitehead. Much work in this area has been done since then, and this book considers the current state of knowledge in all the aspects of the subject. The editors start with introductory chapters on low-dimensional topology, covering both the geometric and algebraic sides of the subject, the latter including crossed modules, Reidemeister-Peiffer identities, and a concrete and modern discussion of Whitehead's algebraic classification of 2-dimensional homotopy types. Further chapters have been skilfully selected and woven together to form a coherent picture. The latest algebraic results and their applications to 3- and 4-dimensional manifolds are dealt with. The geometric nature of the subject is illustrated to the full by over 100 diagrams. Final chapters summarize and contribute to the present status of the conjectures of Zeeman, Whitehead, and Andrews-Curtis. No other book covers all these topics. Some of the material here has been used in courses, making this book valuable for anyone with an interest in two-dimensional homotopy theory, from graduate students to research workers.
Rectifiability
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Author : Pertti Mattila
language : en
Publisher: Cambridge University Press
Release Date : 2023-01-12
Rectifiability written by Pertti Mattila 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 2023-01-12 with Mathematics categories.
Rectifiable sets, measures, currents and varifolds are foundational concepts in geometric measure theory. The last four decades have seen the emergence of a wealth of connections between rectifiability and other areas of analysis and geometry, including deep links with the calculus of variations and complex and harmonic analysis. This short book provides an easily digestible overview of this wide and active field, including discussions of historical background, the basic theory in Euclidean and non-Euclidean settings, and the appearance of rectifiability in analysis and geometry. The author avoids complicated technical arguments and long proofs, instead giving the reader a flavour of each of the topics in turn while providing full references to the wider literature in an extensive bibliography. It is a perfect introduction to the area for researchers and graduate students, who will find much inspiration for their own research inside.
Stacks Project Expository Collection
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Author : Pieter Belmans
language : en
Publisher: Cambridge University Press
Release Date : 2022-10-27
Stacks Project Expository Collection written by Pieter Belmans 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 2022-10-27 with Mathematics categories.
The Stacks Project Expository Collection (SPEC) compiles expository articles in advanced algebraic geometry, intended to bring graduate students and researchers up to speed on recent developments in the geometry of algebraic spaces and algebraic stacks. The articles in the text make explicit in modern language many results, proofs, and examples that were previously only implicit, incomplete, or expressed in classical terms in the literature. Where applicable this is done by explicitly referring to the Stacks project for preliminary results. Topics include the construction and properties of important moduli problems in algebraic geometry (such as the Deligne–Mumford compactification of the moduli of curves, the Picard functor, or moduli of semistable vector bundles and sheaves), and arithmetic questions for fields and algebraic spaces.
Invariance Of Modules Under Automorphisms Of Their Envelopes And Covers
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Author : Ashish K. Srivastava
language : en
Publisher: Cambridge University Press
Release Date : 2021-03-18
Invariance Of Modules Under Automorphisms Of Their Envelopes And Covers written by Ashish K. Srivastava 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 2021-03-18 with Mathematics categories.
Provides a unified treatment of the study of modules invariant under automorphisms of their envelopes and covers.
Recent Developments In Algebraic Geometry
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Author : Hamid Abban
language : en
Publisher: Cambridge University Press
Release Date : 2022-11-03
Recent Developments In Algebraic Geometry written by Hamid Abban 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 2022-11-03 with Mathematics categories.
Written in celebration of Miles Reid's 70th birthday, this illuminating volume contains 11 papers by leading mathematicians in and around algebraic geometry, broadly related to the themes and interests of Reid's varied career. Just as in Reid's own scientific output, some of the papers give comprehensive accounts of the state of the art of foundational matters, while others give expositions of subject areas or techniques in concrete terms. Reid has been one of the major expositors of algebraic geometry and a great influence on many in this field – this book hopes to inspire a new generation of graduate students and researchers in his tradition.
Beyond Hyperbolicity
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Author : Mark Hagen
language : en
Publisher: Cambridge University Press
Release Date : 2019-07-11
Beyond Hyperbolicity written by Mark Hagen 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 2019-07-11 with Mathematics categories.
Contains expository articles and research papers in geometric group theory focusing on generalisations of Gromov hyperbolicity.
Surveys In Combinatorics 2022
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Author : Anthony Nixon
language : en
Publisher: Cambridge University Press
Release Date : 2022-06-09
Surveys In Combinatorics 2022 written by Anthony Nixon 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 2022-06-09 with Mathematics categories.
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.
Algebraic Combinatorics And The Monster Group
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Author : Alexander A. Ivanov
language : en
Publisher: Cambridge University Press
Release Date : 2023-08-17
Algebraic Combinatorics And The Monster Group written by Alexander A. Ivanov 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 2023-08-17 with Mathematics categories.
Covering, arguably, one of the most attractive and mysterious mathematical objects, the Monster group, this text strives to provide an insightful introduction and the discusses the current state of the field. The Monster group is related to many areas of mathematics, as well as physics, from number theory to string theory. This book cuts through the complex nature of the field, highlighting some of the mysteries and intricate relationships involved. Containing many meaningful examples and a manual introduction to the computer package GAP, it provides the opportunity and resources for readers to start their own calculations. Some 20 experts here share their expertise spanning this exciting field, and the resulting volume is ideal for researchers and graduate students working in Combinatorial Algebra, Group theory and related areas.
Surveys In Combinatorics 2024
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Author : Felix Fischer
language : en
Publisher: Cambridge University Press
Release Date : 2024-06-13
Surveys In Combinatorics 2024 written by Felix Fischer 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 2024-06-13 with Mathematics categories.
This volume contains surveys of current research directions in combinatorics written by leading researchers in their fields.