Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory: 97 (Encyclopedia of Mathematics and its Applications, Series Number 97) - Image 1

£106.61

Cambridge University Press Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory: 97 (Encyclopedia of Mathematics and its Applications, Series Number 97)

Name: Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory: 97 (Encyclopedia of Mathematics and its Applications, Series Number 97)
Brand: Cambridge University Press
Price: 106.61 GBP
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Algebra

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The book offers categorical introductions to order, topology, algebra and sheaf theory, suitable for graduate students, teachers and researchers of pure mathematics. Readers familiar with the very basic notions of category theory will learn about the main tools that are used in modern categorical mathematics but are not readily available in the literature. Hence, in eight rather independent chapters the reader will encounter various ways of how to study 'spaces': order-theoretically via their open-set lattices, as objects of a fairly abstract category merely via their interaction with other objects, or via their topoi of set-valued sheaves. Likewise, 'algebras' are treated both as models for Lawvere's algebraic theories and as Eilenberg-Moore algebras for monads, but they appear also as the objects of an abstract category with various levels of 'exactness' conditions. The abstract methods are illustrated by applications which, in many cases, lead to results not yet found in more traditional presentations of the various subjects, for instance on the exponentiability of spaces and embeddability of algebras.

Product Specifications

Brand: Cambridge University Press
Format: hardcover
ASIN: 0521834147
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 22 January 2004
Listed Since: 22 January 2007

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Cambridge University Press Categorical Foundations: Special Topics in Order, Topology, Algebra, and Sheaf Theory: 97 (Encyclopedia of Mathematics and its Applications, Series Number 97)

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