Logo

Dynamical Systems and Sheaves

Small book cover: Dynamical Systems and Sheaves

Dynamical Systems and Sheaves
by

Publisher: arXiv
Number of pages: 65

Description:
A categorical framework for modeling and analyzing systems in a broad sense is proposed. These systems should be thought of as 'machines' with inputs and outputs, carrying some sort of signal that occurs through some notion of time. Special cases include discrete, continuous, and hybrid dynamical systems. A central goal is to understand the systems that result from arbitrary interconnection of component subsystems.

Home page url

Download or read it online for free here:
Download link
(610KB, PDF)

Similar books

Book cover: Basic Category TheoryBasic Category Theory
by - University of Utrecht
Contents: Categories and Functors; Natural transformations; (Co)cones and (Co)limits; A little piece of categorical logic; Adjunctions; Monads and Algebras; Cartesian closed categories and the lambda-calculus; Recursive Domain Equations.
(6626 views)
Book cover: Functors and Categories of Banach SpacesFunctors and Categories of Banach Spaces
by - Springer
The aim of this book is to develop the theory of Banach operator ideals and metric tensor products along categorical lines: these two classes of mathematical objects are endofunctors on the category Ban of all Banach spaces in a natural way.
(5173 views)
Book cover: Categories and ModulesCategories and Modules
by - viXra.org
Modules and morphisms among them subsume categories and functors and provide more general framework to explore the theory of structures. In this book we generalize the basic notions and results of category theory using this framework of modules.
(2661 views)
Book cover: Abelian Categories: an Introduction to the Theory of FunctorsAbelian Categories: an Introduction to the Theory of Functors
by - Harper and Row
From the table of contents: Fundamentals (Contravariant functors and dual categories); Fundamentals of Abelian categories; Special functors and subcategories; Metatheorems; Functor categories; Injective envelopes; Embedding theorems.
(6881 views)