Sheaf Theory Through Examples

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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

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Author : Daniel Rosiak

Pages : 454 pages

Publisher : MIT Press

Language :

ISBN-10 : 0262542153

ISBN-13 : 9780262542159

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Sheaf Theory Through Examples

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