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.
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 2012-12-06. Sheaf Theory available in PDF, EPUB and Kindle. Primarily concerned with the study of cohomology theories of general topological spaces with "general coefficient systems", the parts of sheaf theory covered here are those areas important to algebraic topology. Among the many innovations in this book, the concept of the "tautness" of a subspace is introduced and exploited; the fact that sheaf theoretic cohomology satisfies the homotopy property is proved for general topological spaces; and relative cohomology is introduced into sheaf theory. A list of exercises at the end of each chapter helps students to learn the material, and solutions to many of the exercises are given in an appendix. This new edition of a classic has been substantially rewritten and now includes some 80 additional examples and further explanatory material, as well as new sections on Cech cohomology, the Oliver transfer, intersection theory, generalised manifolds, locally homogeneous spaces, homological fibrations and p- adic transformation groups. Readers should have a thorough background in elementary homological algebra and in algebraic topology.
Sheaves on Manifolds
Sheaves on Manifolds - 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 on Manifolds write by Masaki Kashiwara. This book was released on 2013-03-14. Sheaves on Manifolds available in PDF, EPUB and Kindle. Sheaf Theory is modern, active field of mathematics at the intersection of algebraic topology, algebraic geometry and partial differential equations. This volume offers a comprehensive and self-contained treatment of Sheaf Theory from the basis up, with emphasis on the microlocal point of view. From the reviews: "Clearly and precisely written, and contains many interesting ideas: it describes a whole, largely new branch of mathematics." –Bulletin of the L.M.S.
