Author: Beno Eckmann
Publisher:
ISBN: 9780387046013
Category : Categories (Mathematics)
Languages : en
Pages : 398
Book Description
Seminar on Triples and Categorical Homology Theory
Author: Beno Eckmann
Publisher:
ISBN: 9780387046013
Category : Categories (Mathematics)
Languages : en
Pages : 398
Book Description
Publisher:
ISBN: 9780387046013
Category : Categories (Mathematics)
Languages : en
Pages : 398
Book Description
Seminar on Triples and Categorical Homology Theory
Author: H. Appelgate
Publisher: Springer
ISBN: 9783662190807
Category : Mathematics
Languages : en
Pages : 406
Book Description
Publisher: Springer
ISBN: 9783662190807
Category : Mathematics
Languages : en
Pages : 406
Book Description
Seminar on Triples and Categorical Homology Theory, ETH, 1966-67
Author: H. Appelgate
Publisher:
ISBN:
Category : Categories (Mathematics)
Languages : en
Pages : 0
Book Description
Publisher:
ISBN:
Category : Categories (Mathematics)
Languages : en
Pages : 0
Book Description
Seminar on Triples and Categorical Homology Theory
Author: H. Appelgate
Publisher: Springer
ISBN: 3540360913
Category : Mathematics
Languages : en
Pages : 408
Book Description
Publisher: Springer
ISBN: 3540360913
Category : Mathematics
Languages : en
Pages : 408
Book Description
Categories for the Working Philosopher
Author: Elaine M. Landry
Publisher: Oxford University Press
ISBN: 019874899X
Category : Mathematics
Languages : en
Pages : 486
Book Description
This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these areas.
Publisher: Oxford University Press
ISBN: 019874899X
Category : Mathematics
Languages : en
Pages : 486
Book Description
This is the first volume on category theory for a broad philosophical readership. It is designed to show the interest and significance of category theory for a range of philosophical interests: mathematics, proof theory, computation, cognition, scientific modelling, physics, ontology, the structure of the world. Each chapter is written by either a category-theorist or a philosopher working in one of the represented areas, in an accessible waythat builds on the concepts that are already familiar to philosophers working in these areas.
Relations and Kleene Algebra in Computer Science
Author: Rudolf Berghammer
Publisher: Springer Science & Business Media
ISBN: 354078912X
Category : Computers
Languages : en
Pages : 406
Book Description
The book constitutes the joint refereed proceedings of the 10th International Conference on Relational Methods in Computer Science, RelMiCS 2008, and the 5th International Conference on Applications of Kleene Algebras, AKA 2008, held in Manchester, UK in April 2008. The 26 revised full papers presented together with 2 invited papers were carefully reviewed and selected from numerous submissions. The papers describe the calculus of relations and similar algebraic formalisms as methodological and conceptual tools with special focus on formal methods for software engineering, logics of programs and links to neighbouring disciplines. Their scope comprises relation algebra, fixpoint calculi, semiring theory, iteration algebras, process algebras and dynamic algebras. Applications include formal algebraic modeling, the semantics, analysis and development of programs, formal language theory and combinatorial optimization.
Publisher: Springer Science & Business Media
ISBN: 354078912X
Category : Computers
Languages : en
Pages : 406
Book Description
The book constitutes the joint refereed proceedings of the 10th International Conference on Relational Methods in Computer Science, RelMiCS 2008, and the 5th International Conference on Applications of Kleene Algebras, AKA 2008, held in Manchester, UK in April 2008. The 26 revised full papers presented together with 2 invited papers were carefully reviewed and selected from numerous submissions. The papers describe the calculus of relations and similar algebraic formalisms as methodological and conceptual tools with special focus on formal methods for software engineering, logics of programs and links to neighbouring disciplines. Their scope comprises relation algebra, fixpoint calculi, semiring theory, iteration algebras, process algebras and dynamic algebras. Applications include formal algebraic modeling, the semantics, analysis and development of programs, formal language theory and combinatorial optimization.
Alpine Perspectives on Algebraic Topology
Author: Christian Ausoni
Publisher: American Mathematical Soc.
ISBN: 0821848399
Category : Mathematics
Languages : en
Pages : 274
Book Description
Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.
Publisher: American Mathematical Soc.
ISBN: 0821848399
Category : Mathematics
Languages : en
Pages : 274
Book Description
Contains the proceedings of the Third Arolla Conference on Algebraic Topology, which took place in Arolla, Switzerland, on August 18-24, 2008. This title includes research papers on stable homotopy theory, the theory of operads, localization and algebraic K-theory, as well as survey papers on the Witten genus and localization techniques.
Higher Operads, Higher Categories
Author: Tom Leinster
Publisher: Cambridge University Press
ISBN: 0521532159
Category : Mathematics
Languages : en
Pages : 451
Book Description
Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.
Publisher: Cambridge University Press
ISBN: 0521532159
Category : Mathematics
Languages : en
Pages : 451
Book Description
Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.
Associahedra, Tamari Lattices and Related Structures
Author: Folkert Müller-Hoissen
Publisher: Springer Science & Business Media
ISBN: 3034804059
Category : Mathematics
Languages : en
Pages : 446
Book Description
Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.
Publisher: Springer Science & Business Media
ISBN: 3034804059
Category : Mathematics
Languages : en
Pages : 446
Book Description
Tamari lattices originated from weakenings or reinterpretations of the familar associativity law. This has been the subject of Dov Tamari's thesis at the Sorbonne in Paris in 1951 and the central theme of his subsequent mathematical work. Tamari lattices can be realized in terms of polytopes called associahedra, which in fact also appeared first in Tamari's thesis. By now these beautiful structures have made their appearance in many different areas of pure and applied mathematics, such as algebra, combinatorics, computer science, category theory, geometry, topology, and also in physics. Their interdisciplinary nature provides much fascination and value. On the occasion of Dov Tamari's centennial birthday, this book provides an introduction to topical research related to Tamari's work and ideas. Most of the articles collected in it are written in a way accessible to a wide audience of students and researchers in mathematics and mathematical physics and are accompanied by high quality illustrations.
Bimonoids for Hyperplane Arrangements
Author: Marcelo Aguiar
Publisher: Cambridge University Press
ISBN: 110849580X
Category : Mathematics
Languages : en
Pages : 853
Book Description
The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce notions of monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement. They also construct universal bimonoids by using generalizations of the classical notions of shuffle and quasishuffle, and establish the Borel-Hopf, Poincar -Birkhoff-Witt, and Cartier-Milnor-Moore theorems in this setting. This monograph opens a vast new area of research. It will be of interest to students and researchers working in the areas of hyperplane arrangements, semigroup theory, Hopf algebras, algebraic Lie theory, operads, and category theory.
Publisher: Cambridge University Press
ISBN: 110849580X
Category : Mathematics
Languages : en
Pages : 853
Book Description
The goal of this monograph is to develop Hopf theory in a new setting which features centrally a real hyperplane arrangement. The new theory is parallel to the classical theory of connected Hopf algebras, and relates to it when specialized to the braid arrangement. Joyal's theory of combinatorial species, ideas from Tits' theory of buildings, and Rota's work on incidence algebras inspire and find a common expression in this theory. The authors introduce notions of monoid, comonoid, bimonoid, and Lie monoid relative to a fixed hyperplane arrangement. They also construct universal bimonoids by using generalizations of the classical notions of shuffle and quasishuffle, and establish the Borel-Hopf, Poincar -Birkhoff-Witt, and Cartier-Milnor-Moore theorems in this setting. This monograph opens a vast new area of research. It will be of interest to students and researchers working in the areas of hyperplane arrangements, semigroup theory, Hopf algebras, algebraic Lie theory, operads, and category theory.