Sheaf Theory PDF Download

Author: Glen E. Bredon
Publisher:
ISBN:
Category : Sheaf theory
Languages : en
Pages : 296

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Author: Daniel Rosiak
Publisher: MIT Press
ISBN: 0262362376
Category : Mathematics
Languages : en
Pages : 454

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Book Description
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.

Author: Torsten Wedhorn
Publisher: Springer
ISBN: 3658106336
Category : Mathematics
Languages : en
Pages : 366

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Book Description
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.

Author: Douglas Stewart
Publisher: London : Libraco
ISBN:
Category : Cataloging
Languages : en
Pages : 70

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Author: S. Ramanan
Publisher: American Mathematical Soc.
ISBN: 0821837028
Category : Mathematics
Languages : en
Pages : 330

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Book Description
The power that analysis, topology and algebra bring to geometry has revolutionised the way geometers and physicists look at conceptual problems. Some of the key ingredients in this interplay are sheaves, cohomology, Lie groups, connections and differential operators. In Global Calculus, the appropriate formalism for these topics is laid out with numerous examples and applications by one of the experts in differential and algebraic geometry. Ramanan has chosen an uncommon but natural path through the subject. In this almost completely self-contained account, these topics are developed from scratch. The basics of Fourier transforms, Sobolev theory and interior regularity are proved at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex. Many new perspectives on traditional and modern questions of differential analysis and geometry are the hallmarks of the book. The book is suitable for a first year graduate course on Global Analysis.

Author: Semen G. Gindikin
Publisher: Springer Science & Business Media
ISBN: 3642612636
Category : Mathematics
Languages : en
Pages : 257

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Book Description
This volume of the EMS contains four survey articles on analytic spaces. They are excellent introductions to each respective area. Starting from basic principles in several complex variables each article stretches out to current trends in research. Graduate students and researchers will find a useful addition in the extensive bibliography at the end of each article.

Author: Jacob Neusner
Publisher: BRILL
ISBN: 9047416376
Category : History
Languages : en
Pages : 2811

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Book Description
This project presents in three volumes the Mishnah’s and the Tosefta’s first division, Zera‘im (Agriculture), organized in eleven topical tractates, together with a systematic history of the law of Zeraim in the Mishnah. To the exposition of the Halakhah on the chosen topic, the Mishnah-tractates are primary but complemented by the Tosefta’s presentation of its collection of glosses of the Mishnah’s law and supplements to that law. The Mishnah’s and the Tosefta’s tractates are integrated, with the Tosefta’s complement given in the setting of the Mishnah’s rules, and the whole is given in English translation. The presentation in each case encompasses an introduction, a form-analytical translation and commentary, a systematic integration of the Tosefta’s compositions into the Mishnah’s laws, an explanation of the details of the law, and an inquiry into how the Halakhah of the Mishnah and that of the Tosefta intersect, item by item.

Author: Maxine Sheets-Johnstone
Publisher: Open Court Publishing
ISBN: 9780812692587
Category : Philosophy
Languages : en
Pages : 460

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Book Description
Sheets-Johnstone critically examines the work of contemporary theorists, including Judith Butler, Michel Foucault, Jacques Lacan, Jean-Paul Sartre, and Jacques Derrida, in an effort to recover the lived body and its impact on gendered existence and power relations. Deeply critical of feminist writers who minimize biological experience, she argues that theorists must thoroughly consider the evolutionary body in order to understand its cultural reworkings.. -- Choice review.

Author: John R. Liukkonen
Publisher: American Mathematical Soc.
ISBN: 0821818481
Category : Mathematics
Languages : en
Pages : 194

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Book Description
From March 20 through April 5, 1973, the Mathematics Department of Tulane University organized a seminar on recent progress made in the general theory of the representation of rings and topological algebras by continuous sections in sheaves and bundles. The seminar was divided into two main sections: one concerned with sheaf representation, the other with bundle representation. The first was concerned with ringed spaces, applications to logic, universal algebra and lattice theory. The second was almost exclusively devoted to C*-algebra and Hilbert space bundles or closely related material. This collection represents the majority of the papers presented by seminar participants, with the addition of three papers which were presented by title.

Author: Michael W. Mahoney
Publisher: American Mathematical Soc.
ISBN: 1470435756
Category : Computers
Languages : en
Pages : 340

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Book Description
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