Tool and Object

Tool and Object

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Category theory is a general mathematical theory of structures and of structures of structures. It occupied a central position in contemporary mathematics as well as computer science. This book describes the history of category theory whereby illuminating its symbiotic relationship to algebraic topology, homological algebra, algebraic geometry and mathematical logic and elaboratively develops the connections with the epistemological significance.diagram language of the concept of free group is contained in [Mac Lane 1950] ( see 2.4.3). ... labelled F and U, for free and underlying. 393This a€œuniversal mapping propertya€ is the well-known property that the homomorphisms defined on a free module M are determined by the values on the base A where these values cananbsp;...

Title:Tool and Object
Author: Ralph Krömer
Publisher:Springer Science & Business Media - 2007-06-25

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