A detailed treatment of Mackey functors and homotopical applications in the broader context of enriched diagram categories, suitable for graduate students or researchers with an interest in category theory, equivariant homotopy theory, or related fie...Daugiau...
Most complex physical phenomena can be described by nonlinear equations, specifically, differential equations. In water engineering, nonlinear differential equations play a vital role in modeling physical processes. Analytical solutions to strong...Daugiau...
Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic K-theory since around 1970. There is an abundance of new applications and questi...Daugiau...
Bimonoidal categories are categorical analogues of rings without additive inverses. They have been actively studied in category theory, homotopy theory, and algebraic K-theory since around 1970. There is an abundance of new applications and questi...Daugiau...
The Handbook of Homotopy established the state-of-the-art research on this emerging topic in topology. The list of topics and contributors is impressive. The topics cover a broad swath, and the contributors will do an outstanding job. Students par...Daugiau...
The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of...Daugiau...
Exploring the frontiers of pure and applied mathematics, this series compiles expansive, connected research into detailed treatises. Each submission is carefully peer-reviewed to ensure adherence to the highest academic standards, offering refined i...Daugiau...
Serija: Proceedings of Symposia in Pure Mathematics
(Išleidimo metai: 01-Dec-2023, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470442491)
From a May-June 2017 international topology conference in Athens, Georgia, 15 papers were written for a broad readership of topologists. Among their topics are the structure of the flow and Yamada polynomials of cube graphs, transverse universal...Daugiau...
In this paper, we prove compatibilities of various definitions of relatively unipotent log de Rham fundamental groups for certain proper log smooth integral morphisms of fine log schemes of characteristic zero. Our proofs are purely algebraic. As an...Daugiau...
Most complex physical phenomena can be described by nonlinear equations, specifically, differential equations. In water engineering, nonlinear differential equations play a vital role in modeling physical processes. Analytical solutions to strong...Daugiau...
The simplicial volume is a homotopy invariant of manifolds introduced by Gromov in his pioneering paper Volume and bounded cohomology. In order to study the main properties of simplicial volume, Gromov himself initiated the dual theory of bounded co...Daugiau...
This book introduces the notion of an effective Kan fibration, a new mathematical structure which can be used to study simplicial homotopy theory. The main motivation is to make simplicial homotopy theory suitable for homotopy type theory. Effective...Daugiau...
Andrew J. Blumberg, Teena Gerhardt, Michael A. Hill
Serija: Mathematical Sciences Research Institute Publications
(Išleidimo metai: 21-Jul-2022, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781009123297)
The modern era in homotopy theory began in the 1960s with the profound realization, first codified by Boardman in his construction of the stable category, that the category of spaces up to stable homotopy equivalence is equipped with a rich algebrai...Daugiau...
This volume provides a unified and accessible account of recent developments regarding the real homotopy type of configuration spaces of manifolds. Configuration spaces consist of collections of pairwise distinct points in a given manifold, the stud...Daugiau...
Michael A. Hill, Michael J. Hopkins, Douglas C. Ravenel
Serija: New Mathematical Monographs
(Išleidimo metai: 29-Jul-2021, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108831444)
This unique book on modern topology looks well beyond traditional treatises, and explores spaces that may, but need not, be Hausdorff. This is essential for domain theory, the cornerstone of semantics of computer languages, where the Scott topology...Daugiau...
(Išleidimo metai: 13-Jun-2021, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811237997)
This book is an introduction to fiber bundles and fibrations. But the ultimate goal is to make the reader feel comfortable with basic ideas in homotopy theory. The author found that the classification of principal fiber bundles is an ideal motivation...Daugiau...
(Išleidimo metai: 04-Jan-2021, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811222757)
The D(2) problem is a fundamental problem in low dimensional topology. In broad terms, it asks when a three-dimensional space can be continuously deformed into a two-dimensional space without changing the essential algebraic properties of the spaces...Daugiau...
This book gives a modern presentation of modular operands and their role in string field theory. The authors aim to outline the arguments from the perspective of homotopy algebras and their operadic origin.Part I reviews string field...Daugiau...
Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories. It introduces the category of bornological coarse spaces and the notion of a coarse homology theory, and fu...Daugiau...
Eight papers from a May 2018 workshop in Essen, Germany explain refined enumerative geometry as a technique for enriching the understanding of solutions to geometric problems. Instead of a mere integer counting such solutions, they say, this appr...Daugiau...
Isaksen presents a detailed analysis of two complete stable homotopy groups, both in the classical context and in the motivic context over C. He uses the motivic May spectral sequence to compute the cohomology of the motivic Steenrod algebra over...Daugiau...
The June 2018 regional conference at Texas Christian University was organized such that Cox delivered two lectures on each of the five days, then a specialist in that area of polynomials would present a third lecture. The areas are elimination th...Daugiau...
(Išleidimo metai: 16-Apr-2020, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108479622)
Category theory has at least two important features. The first one is that it allows us to structure our mathematical world. Many constructions that you encounter in your daily life look structurally very similar, like products of sets, products of...Daugiau...
(Išleidimo metai: 26-Mar-2020, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108482783)
This comprehensive introduction to stable homotopy theory presents the foundations of this often daunting subject together in one place for the first time. Writing with beginning graduate students in mind, the authors begin with the motivating phenom...Daugiau...
Scoville introduces both discrete Morse theory and concepts in topology generally, and has tried to make the material accessible to undergraduates with no more than a course in mathematical proof writing. As far as he knows, this is the first boo...Daugiau...
The Handbook of Homotopy established the state-of-the-art research on this emerging topic in topology. The list of topics and contributors is impressive. The topics cover a broad swath, and the contributors will do an outstanding job. Students par...Daugiau...
(Išleidimo metai: 28-Nov-2019, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789811212857)
This book provides a general and powerful definition of homotopy algebraic quantum field theory and homotopy prefactorization algebra using a new coend definition of the Boardman-Vogt construction for a colored operad. All of their homotopy coherent...Daugiau...
This monograph initiates a theory of new categorical structures that generalize the simplicial Segal property to higher dimensions. The authors introduce the notion of a d-Segal space, which is a simplicial space satisfying locality conditi...Daugiau...
(Išleidimo metai: 13-Aug-2019, Hardback, Leidėjas: Oxford University Press, ISBN-13: 9780198832973)
An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer throu...Daugiau...
An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer throu...Daugiau...
The proceedings of a July 2017 conference on homotopy theory held in Urbana, Illinois contains 11 selected papers. The topics include a constructive approach to higher homotopy operations, the right adjoint to the equivalent operadic forgetful fu...Daugiau...
(Išleidimo metai: 02-May-2019, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108473200)
This user-friendly book introduces modern homotopy theory through the lens of higher categories after Joyal and Lurie. Starting from scratch it guides graduate students and researchers through the powerful tools that the theory provides for applicati...Daugiau...
(Išleidimo metai: 06-Sep-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781108425810)
Equivariant homotopy theory started from geometrically motivated questions about symmetries of manifolds. Several important equivariant phenomena occur not just for a particular group, but in a uniform way for all groups. Prominent examples include s...Daugiau...
The proceedings of a February-March 2016 conference in Oberwolfach, Germany contains four survey articles and seven research reports on topological complexity. Surveys include rational methods applied to sectional category and topological complex...Daugiau...
(Išleidimo metai: 15-Mar-2018, Hardback, Leidėjas: Cambridge University Press, ISBN-13: 9781107101364)
The notion of an (8,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approaches to this structure, all of them equivalent, and each with its corresponding homotopy theor...Daugiau...
The notion of an (8,1)-category has become widely used in homotopy theory, category theory, and in a number of applications. There are many different approaches to this structure, all of them equivalent, and each with its corresponding homotopy theor...Daugiau...
(Išleidimo metai: 30-Jan-2018, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470429508)
Writing in the area of differential geometry at the graduate level, Moore gives foundations for a partial Morse theory of minimal surfaces in Riemannian manifolds. Morse theory, he reminds readers, is concerned with the relationship between the c...Daugiau...
Serija: Lecture Notes Series, Institute for Mathematical Sciences, National University of Singapore
(Išleidimo metai: 18-Dec-2017, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789813226562)
This volume consists of introductory lectures on the topics in the new and rapidly developing area of toric homotopy theory, and its applications to the current research in configuration spaces and braids, as well as to more applicable mathematics s...Daugiau...
Lin explores the structure of C*-algebras and their homomorphisms, exploring both the mathematical phenomenon and practical applications. After an an overview of the Elliott program; he covers homomorphisms from subhomogeneous C*-algebras to fini...Daugiau...
The theme of this book is an examination of the homotopy principle for holomorphic mappings from Stein manifolds to the newly introduced class of Oka manifolds, offering the first complete account of Oka-Grauert theory and its modern extensions....Daugiau...
This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author. Except for a small number of exercises inthe first few sections, we provide solutions of the (228) odd-numbered pro...Daugiau...
(Išleidimo metai: 30-Jun-2017, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470434823)
The ultimate goal of this book is to explain that the Grothendieck-Teichmuller group, as defined by Drinfeld in quantum group theory, has a topological interpretation as a group of homotopy automorphisms associated to the little 2-disc operad. To es...Daugiau...
(Išleidimo metai: 30-May-2017, Hardback, Leidėjas: American Mathematical Society, ISBN-13: 9781470434816)
The Grothendieck-Teichmuller group was defined by Drinfeld in quantum group theory with insights coming from the Grothendieck program in Galois theory. The ultimate goal of this book is to explain that this group has a topological interpretation as...Daugiau...
This volume presents papers from the proceedings of the conference on Manifolds, K-Theory, and Related Topics, held in June 2014, in Dubrovnik, Croatia. Contributed by mathematicians from the US and Europe, the 11 papers discuss recent advances i...Daugiau...
Ši knyga nebeleidžiama, tačiau mes Jums pranešime naudoto egzemplioriaus kainą
Hermann extends S. Schwedes exact sequence interpretation of the Gerstenhaber bracket in Hochschild cohomology to certain exact and monoidal categories. Therefore, he establishes an explicit description of an isomorphism by A. Neeman and V. Retakh,...Daugiau...
This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is...Daugiau...
(Išleidimo metai: 28-May-2015, Hardback, Leidėjas: Springer-Verlag New York Inc., ISBN-13: 9781493922994)
This monograph on the homotopy theory of topologized diagrams of spaces and spectra gives an expert account of a subject at the foundation of motivic homotopy theory and the theory of topological modular forms in stable homotopy theory.Begi...Daugiau...
(Išleidimo metai: 27-Apr-2015, Hardback, Leidėjas: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789814651424)
This research monograph is a detailed account with complete proofs of rational homotopy theory for general non-simply connected spaces, based on the minimal models introduced by Sullivan in his original seminal article. Much of the content consists o...Daugiau...
