Coherence for Tricategories PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Coherence for Tricategories PDF full book. Access full book title Coherence for Tricategories by Robert Gordon. Download full books in PDF and EPUB format.
Author: Robert Gordon
Publisher: American Mathematical Soc.
ISBN: 0821803441
Category : Mathematics
Languages : en
Pages : 94
Get Book Here
Book Description
This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are also defined so as to extend the concepts of homomorphism and biequivalence for bicategories.
Author: Robert Gordon
Publisher: American Mathematical Soc.
ISBN: 0821803441
Category : Mathematics
Languages : en
Pages : 94
Get Book Here
Book Description
This work defines the concept of tricategory as the natural 3-dimensional generalization of bicategory. Trihomomorphism and triequivalence for tricategories are also defined so as to extend the concepts of homomorphism and biequivalence for bicategories.
Author: Nick Gurski
Publisher: Cambridge University Press
ISBN: 1107034892
Category : Mathematics
Languages : en
Pages : 287
Get Book Here
Book Description
Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.
Author: Jacob Lurie
Publisher: Princeton University Press
ISBN: 9780691140490
Category : Mathematics
Languages : en
Pages : 948
Get Book Here
Book Description
In 'Higher Topos Theory', Jacob Lurie presents the foundations of this theory using the language of weak Kan complexes introduced by Boardman and Vogt, and shows how existing theorems in algebraic topology can be reformulated and generalized in the theory's new language.
Author: Valentina Barucci
Publisher: American Mathematical Soc.
ISBN: 0821805444
Category : Mathematics
Languages : en
Pages : 95
Get Book Here
Book Description
In Chapter I, various (numerical) semigroup-theoretic concepts and constructions are introduced and characterized. Applications in Chapter II are made to the study of Noetherian local one-dimensional analytically irreducible integral domains, especially for the Gorenstein, maximal embedding dimension, and Arf cases, as well as to the so-called Kunz case, a pervasive kind of domain of Cohen-Macaulay type 2.
Author: James Damon
Publisher: American Mathematical Soc.
ISBN: 0821804812
Category : Mathematics
Languages : en
Pages : 130
Get Book Here
Book Description
Almost free divisors and complete intersections form a general class of nonisolated hypersurface and completer intersection singularities. They also include discriminants of mappings, bifurcation sets, and certain types of arrangements of hyperplanes such as Coxeter arrangements and generic arrangements. Associated to the singularities of this class is a "singular Milnor fibration" which has the same homotopy properties as the Milnor fibration for isolated singularities. This memoir deduces topological properties of singularities in a number of situations including: complements of hyperplane arrangements, various nonisolated complete intersections, nonlinear arrangements of hypersurfaces, functions on discriminants, singularities defined by compositions of functions, and bifurcation sets.
Author: Bernold Fiedler
Publisher: American Mathematical Soc.
ISBN: 0821804685
Category : Mathematics
Languages : en
Pages : 94
Get Book Here
Book Description
Numerically speaking, continuous time dynamical systems do not exist. Rather, a discretized version is studied and interpreted in analogy to the continuous time dynamical system. Over fixed finite time intervals, this analogy is quite close and well understood in terms of discretization errors and sophisticated discretization schemes. Over large or infinite time intervals, this analogy is not so clear, because discretization errors tend to accumulate exponentially with time. In this paper, we specifically investigate the correspondence between continuous and discrete time dynamical systems for homoclinic orbits. By definition, these are orbits which tend to the same stationary point for both large positive and large negative times.
Author: David E. Radford
Publisher: American Mathematical Soc.
ISBN: 0821827944
Category : Mathematics
Languages : en
Pages : 232
Get Book Here
Book Description
The technique of diagrammatic morphisms is an important ingredient in comprehending and visualizing certain types of categories with structure. It was widely used in this capacity in many areas of algebra, low-dimensional topology and physics. It was also applied to problems in classical and quantum information processing and logic. This volume contains articles based on talks at the Special Session, ``Diagrammatic Morphisms in Algebra, Category Theory, and Topology'', at the AMS Sectional Meeting in San Francisco. The articles describe recent achievements in several aspects of diagrammatic morphisms and their applications. Some of them contain detailed expositions on various diagrammatic techniques. The introductory article by D. Yetter is a thorough account of the subject in a historical perspective.
Author: Octavian Iordache
Publisher: Springer
ISBN: 3642106544
Category : Technology & Engineering
Languages : en
Pages : 310
Get Book Here
Book Description
Complexity understanding and management will be a main source of efficiency and prosperity for the next decades and thus is of highest industrial and scientific interest. This book on the latest in polystochastic models for complexity includes case studies.
Author: Samuel Kaplan
Publisher: American Mathematical Soc.
ISBN: 0821804634
Category : Mathematics
Languages : en
Pages : 143
Get Book Here
Book Description
The present work is based upon our monograph "The Bidual of [italic capital]C([italic capital]X)" ([italic capital]X being compact). We generalize to the bidual the theory of Lebesgue integration, with respect to Radon measures on [italic capital]X, of bounded functions. The bidual of [italic capital]C([italic capital]X) contains this space of bounded functions, but is much more 'spacious', so the body of results can be expected to be richer. Finally, we show that by projection onto the space of bounded functions, the standard theory is obtained.
Author: Henry L. Kurland
Publisher: American Mathematical Soc.
ISBN: 0821804405
Category : Mathematics
Languages : en
Pages : 199
Get Book Here
Book Description
This memoir is a careful and detailed study of the intersection pairing in the Conley index. The Conley index associates to an isolated invariant set of a semiflow (with some mild compactness conditions) a homotopy type of a space, constructed to be invariant under perturbations of the flow. The homology of this space is the homology Conley index. For a (two-sided) flow, each isolated invariant set has two indices defined: one for the forward flow, and one for the reverse. In general, there is no relationship between these two indices, but when the flow is on an orientable manifold, the two indices can be related by an intersection pairing. It is this pairing that receives a careful and detailed study in this memoir. Results are then applied to the motivating example of the work: the existence of transition layer behavior for two-point boundary value problems of singularly perturbed systems.
