Sheaf Theory through Examples - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sheaf Theory through Examples write by Daniel Rosiak. This book was released on 2022-10-25. Sheaf Theory through Examples available in PDF, EPUB and Kindle. An approachable introduction to elementary sheaf theory and its applications beyond pure math. Sheaves are mathematical constructions concerned with passages from local properties to global ones. They have played a fundamental role in the development of many areas of modern mathematics, yet the broad conceptual power of sheaf theory and its wide applicability to areas beyond pure math have only recently begun to be appreciated. Taking an applied category theory perspective, Sheaf Theory through Examples provides an approachable introduction to elementary sheaf theory and examines applications including n-colorings of graphs, satellite data, chess problems, Bayesian networks, self-similar groups, musical performance, complexes, and much more. With an emphasis on developing the theory via a wealth of well-motivated and vividly illustrated examples, Sheaf Theory through Examples supplements the formal development of concepts with philosophical reflections on topology, category theory, and sheaf theory, alongside a selection of advanced topics and examples that illustrate ideas like cellular sheaf cohomology, toposes, and geometric morphisms. Sheaf Theory through Examples seeks to bridge the powerful results of sheaf theory as used by mathematicians and real-world applications, while also supplementing the technical matters with a unique philosophical perspective attuned to the broader development of ideas.
Sheaf Theory
Sheaf Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sheaf Theory write by Glen E. Bredon. This book was released on 1967. Sheaf Theory available in PDF, EPUB and Kindle.
Sheaf Theory
Sheaf Theory - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sheaf Theory write by B. R. Tennison. This book was released on 1975-12-18. Sheaf Theory available in PDF, EPUB and Kindle. Sheaf theory provides a means of discussing many different kinds of geometric objects in respect of the connection between their local and global properties. It finds its main applications in topology and modern algebraic geometry where it has been used as a tool for solving, with great success, several long-standing problems. This text is based on a lecture course for graduate pure mathematicians which builds up enough of the foundations of sheaf theory to give a broad definition of manifold, covering as special cases the algebraic geometer's schemes as well as the topological, differentiable and analytic kinds, and to define sheaf cohomology for application to such objects. Exercises are provided at the end of each chapter and at various places in the text. Hints and solutions to some of them are given at the end of the book.
Sheaves in Topology
Sheaves in Topology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Sheaves in Topology write by Alexandru Dimca. This book was released on 2012-12-06. Sheaves in Topology available in PDF, EPUB and Kindle. Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds. This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant) coefficients. The author helps readers progress quickly from the basic theory to current research questions, thoroughly supported along the way by examples and exercises.
Manifolds, Sheaves, and Cohomology
Manifolds, Sheaves, and Cohomology - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Manifolds, Sheaves, and Cohomology write by Torsten Wedhorn. This book was released on 2016-07-25. Manifolds, Sheaves, and Cohomology available in PDF, EPUB and Kindle. This book explains techniques that are essential in almost all branches of modern geometry such as algebraic geometry, complex geometry, or non-archimedian geometry. It uses the most accessible case, real and complex manifolds, as a model. The author especially emphasizes the difference between local and global questions. Cohomology theory of sheaves is introduced and its usage is illustrated by many examples.
