Tool and Object A History and Philosophy of Category Theory /

The book is first of all a history of category theory from the beginnings to A. Grothendieck and F.W. Lawvere. Category theory was an important conceptual tool in 20th century mathematics whose influence on some mathematical subdisciplines (above all algebraic topology and algebraic geometry) is ana...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Krömer, Ralph (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2007.
Edition:1st ed. 2007.
Series:Science Networks. Historical Studies, 32
Subjects:
Mathematics.
History.
Algebra, Homological.
History of Mathematical Sciences.
Category Theory, Homological Algebra.
Online Access:Texto Completo
Table of Contents:
  • Prelude: Poincaré, Wittgenstein, Peirce, and the use of concepts
  • Category theory in Algebraic Topology
  • Category theory in Homological Algebra
  • Category theory in Algebraic Geometry
  • From tool to object: full-fledged category theory
  • Categories as sets: problems and solutions
  • Categorial foundations
  • Pragmatism and category theory.

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