This book introduces a novel framework to study the rational homotopy of a space through the construction of enriched differential graded Lie algebras (dgls), extending Quillen rational homotopy to non-simply connected spaces in a way that is compat...Loe edasi...
José Luis Cisneros-Molina, Lê Dng Tráng, José Seade
(Ilmumisaeg: 25-Jan-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031995705)
This is the eight volume of the Handbook of Geometry and Topology of Singularities, a series that provides an accessible account of the state of the art of the subject, its frontiers and its interactions with o...Loe edasi...
(Ilmumisaeg: 15-Jan-2026, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819820573)
This monograph offers a compelling exploration of structures induced by smooth vector flows on the boundaries of compact manifolds, with a particular focus on flows that admit Lyapunov functions strictly monotonic along each trajectory. These trave...Loe edasi...
This book addresses state of the art techniques which have rapidly evolved from the first studies of the Quantum Spin hall effect in graphene to more advanced algebraic topological invariants. Additionally, this book provides a comprehensive study...Loe edasi...
This book introduces the category of Cartesian cubical sets and endows it with a Quillen model structure using ideas coming from Homotopy type theory. In particular, recent constructions of cubical systems of univalent type theory are used to dete...Loe edasi...
Sari: Series In Algebraic And Differential Geometry
(Ilmumisaeg: 30-Dec-2025, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819806133)
A fundamental idea to understanding topological spaces is decomposing them down into simpler components for easier analysis. The study of decompositions in unstable homotopy theory has a long, rich history and has contributed significantly to the st...Loe edasi...
This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created. ...Loe edasi...
Sari: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
(Ilmumisaeg: 02-Oct-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031989759)
This monograph is devoted to the Isomorphism Conjectures formulated by Baum and Connes, and by Farrell and Jones. These conjectures are central to the study of the topological K-theory of reduced group C*-algebras and the algebraic K...Loe edasi...
The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as...Loe edasi...
The body of work presented in this book comes from research carried out since 2017 as part of the international Actualité de René Thom project. This project was initially entitled Morphology and qualitative dynamics: Knowledge of forms / Forms of...Loe edasi...
This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of K-theory and its relation to the C*-algebr...Loe edasi...
A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawaras homotopy characterization of H-spaces and loop spaces. At the b...Loe edasi...
The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function. The basic question in this context is the following: How much of the topology of the underly...Loe edasi...
(Ilmumisaeg: 09-May-2025, Paperback / softback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819807109)
The book introduces (co)homology theory and some of its applications in Algebra and Geometry. It is intended for undergraduate Mathematics students, as well as graduate and postgraduate students in other fields, particularly Theoretical Physics, who...Loe edasi...
(Ilmumisaeg: 09-May-2025, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819805822)
The book introduces (co)homology theory and some of its applications in Algebra and Geometry. It is intended for undergraduate Mathematics students, as well as graduate and postgraduate students in other fields, particularly Theoretical Physics, who...Loe edasi...
This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the “Higher homotopical structures” programme.Since their introduction 60 years ago, the notions of infinity algebr...Loe edasi...
(Ilmumisaeg: 07-Apr-2025, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819801794)
Explore four-dimensional paper constructions inspired by the work of great mathematicians like Möbius, Klein, Boy, Hopf, and others. These creations will help you visualize four-dimensional space and beyond, transporting you to higher-dimensional sp...Loe edasi...
This book, intended for PhD students and researchers, revisits the theory of rewriting and presentations of algebraic structures, through the unified approach provided by polygraphs, and put it in the context of homotopical algebra. It introduces the...Loe edasi...
This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original monograph in the Memoirs of the American Mathematical Society dates back to 1975. This book is an organized, accessible, and self-con...Loe edasi...
Sectoral Structures Theory is a novel, interdisciplinary mathematical framework which studies the continuous arrangements of circular sectors into sectoral structures. This work explores enumerative functions of structural sets, their connections to...Loe edasi...
José Luis Cisneros-Molina, Lê Dng Tráng, José Seade
(Ilmumisaeg: 02-Mar-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031687105)
This is the seventh volume of the Handbook of Geometry and Topology of Singularities, a series that aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. ...Loe edasi...
(Ilmumisaeg: 15-Feb-2025, Paperback / softback, Kirjastus: Springer-Verlag Berlin and Heidelberg GmbH & Co. K, ISBN-13: 9783662706015)
This book serves as an introduction to topology, a branch of mathematics that studies the qualitative properties of geometric objects. It is designed as a bridge between elementary courses in analysis and linear algebra and more advanced classes i...Loe edasi...
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...Loe edasi...
(Ilmumisaeg: 12-Dec-2024, Hardback, Kirjastus: Oxford University Press, ISBN-13: 9780198904908)
This textbook is a modern and accessible account of module theory and is intended for a graduate course on the topic. Written by two specialists, it is addressed to graduate students in algebra, or to students who need algebraic tools in their work....Loe edasi...
This textbook is a modern and accessible account of module theory and is intended for a graduate course on the topic. Written by two specialists, it is addressed to graduate students in algebra, or to students who need algebraic tools in their work....Loe edasi...
This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created.Offering exc...Loe edasi...
This book provides a tool-kit for the advanced study of symmetry, one of the most important concepts in mathematics and physics. Full of detailed examples, it discusses some of the most exciting interactions between operator algebras and representat...Loe edasi...
This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the p...Loe edasi...
(Ilmumisaeg: 02-Mar-2026, Hardback, Kirjastus: De Gruyter, ISBN-13: 9783112233238)
Observability in Mathematics was developed based on the denial of the concept of infinity. The book introduces Observers into arithmetic, and arithmetic becomes dependent on Observers. And after that, the basic mathematical parts also become depend...Loe edasi...
This book introduces a novel framework to study the rational homotopy of a space through the construction of enriched differential graded Lie algebras (dgls), extending Quillen rational homotopy to non-simply connected spaces in a way that is compat...Loe edasi...
José Luis Cisneros-Molina, Lê Dng Tráng, José Seade
(Ilmumisaeg: 25-Jan-2026, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031995705)
This is the eight volume of the Handbook of Geometry and Topology of Singularities, a series that provides an accessible account of the state of the art of the subject, its frontiers and its interactions with o...Loe edasi...
(Ilmumisaeg: 15-Jan-2026, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819820573)
This monograph offers a compelling exploration of structures induced by smooth vector flows on the boundaries of compact manifolds, with a particular focus on flows that admit Lyapunov functions strictly monotonic along each trajectory. These trave...Loe edasi...
This book addresses state of the art techniques which have rapidly evolved from the first studies of the Quantum Spin hall effect in graphene to more advanced algebraic topological invariants. Additionally, this book provides a comprehensive study...Loe edasi...
This book introduces the category of Cartesian cubical sets and endows it with a Quillen model structure using ideas coming from Homotopy type theory. In particular, recent constructions of cubical systems of univalent type theory are used to dete...Loe edasi...
Sari: Series In Algebraic And Differential Geometry
(Ilmumisaeg: 30-Dec-2025, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819806133)
A fundamental idea to understanding topological spaces is decomposing them down into simpler components for easier analysis. The study of decompositions in unstable homotopy theory has a long, rich history and has contributed significantly to the st...Loe edasi...
This unique book offers an introductory course on category theory, which became a working language in algebraic geometry and number theory in the 1950s and began to spread to logic and computer science soon after it was created. ...Loe edasi...
Sari: Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge / A Series of Modern Surveys in Mathematics
(Ilmumisaeg: 02-Oct-2025, Hardback, Kirjastus: Springer International Publishing AG, ISBN-13: 9783031989759)
This monograph is devoted to the Isomorphism Conjectures formulated by Baum and Connes, and by Farrell and Jones. These conjectures are central to the study of the topological K-theory of reduced group C*-algebras and the algebraic K...Loe edasi...
The study of Lefschetz properties for Artinian algebras was motivated by the Lefschetz theory for projective manifolds. Recent developments have demonstrated important cases of the Lefschetz property beyond the original geometric settings, such as...Loe edasi...
The body of work presented in this book comes from research carried out since 2017 as part of the international Actualité de René Thom project. This project was initially entitled Morphology and qualitative dynamics: Knowledge of forms / Forms of...Loe edasi...
This is the first textbook on C*-algebra theory with a view toward Noncommutative Geometry. Moreover, it fills a gap in the literature, providing a clear and accessible account of the geometric picture of K-theory and its relation to the C*-algebr...Loe edasi...
A-infinity structure was introduced by Stasheff in the 1960s in his homotopy characterization of based loop space, which was the culmination of earlier works of Sugawaras homotopy characterization of H-spaces and loop spaces. At the b...Loe edasi...
The key geometric objects underlying Morse homology are the moduli spaces of connecting gradient trajectories between critical points of a Morse function. The basic question in this context is the following: How much of the topology of the underly...Loe edasi...
(Ilmumisaeg: 14-May-2025, Paperback / softback, Kirjastus: Mathematical Society of Japan, ISBN-13: 9784864971119)
The aim of this work is to give a new description of the geometry appearing in the multi-specialization along a general family of submanifolds (including some important cases as clean intersection or a simultaneously linearizable family of Lagrangia...Loe edasi...
(Ilmumisaeg: 09-May-2025, Paperback / softback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819807109)
The book introduces (co)homology theory and some of its applications in Algebra and Geometry. It is intended for undergraduate Mathematics students, as well as graduate and postgraduate students in other fields, particularly Theoretical Physics, who...Loe edasi...
(Ilmumisaeg: 09-May-2025, Hardback, Kirjastus: World Scientific Publishing Co Pte Ltd, ISBN-13: 9789819805822)
The book introduces (co)homology theory and some of its applications in Algebra and Geometry. It is intended for undergraduate Mathematics students, as well as graduate and postgraduate students in other fields, particularly Theoretical Physics, who...Loe edasi...
This book presents the notes originating from five series of lectures given at the CRM Barcelona in 21-25 June, 2021, during the “Higher homotopical structures” programme.Since their introduction 60 years ago, the notions of infinity algebr...Loe edasi...
