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.
Topology of Singular Spaces and Constructible Sheaves
Topology of Singular Spaces and Constructible Sheaves - 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 Topology of Singular Spaces and Constructible Sheaves write by Jörg Schürmann. This book was released on 2012-12-06. Topology of Singular Spaces and Constructible Sheaves available in PDF, EPUB and Kindle. This volume is based on the lecture notes of six courses delivered at a Cimpa Summer School in Temuco, Chile, in January 2001. Leading experts contribute with introductory articles covering a broad area in probability and its applications, such as mathematical physics and mathematics of finance. Written at graduate level, the lectures touch the latest advances on each subject, ranging from classical probability theory to modern developments. Thus the book will appeal to students, teachers and researchers working in probability theory or related fields.
Sheaf Theory through Examples
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.
Categories and Sheaves
Categories and Sheaves - 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 Categories and Sheaves write by Masaki Kashiwara. This book was released on 2005-12-19. Categories and Sheaves available in PDF, EPUB and Kindle. Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.
