From a Geometrical Point of View A Study of the History and Philosophy of Category Theory /

From a Geometrical Point of View explores historical and philosophical aspects of category theory, trying therewith to expose its significance in the mathematical landscape. The main thesis is that Klein's Erlangen program in geometry is in fact a particular instance of a general and broad phen...

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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Marquis, Jean-Pierre (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 2009.
Edition:1st ed. 2009.
Series:Logic, Epistemology, and the Unity of Science, 14
Subjects:
Science > Philosophy.
Mathematics.
History.
Algebra, Homological.
Mathematical logic.
Algebraic topology.
Philosophy of Science.
History of Mathematical Sciences.
Category Theory, Homological Algebra.
Mathematical Logic and Foundations.
Algebraic Topology.
Online Access:Texto Completo
Table of Contents:
  • Category Theory and Klein's Erlangen Program
  • Introducing Categories, Functors and Natural Transformations
  • Categories as Spaces, Functors as Transformations
  • Discovering Fundamental Categorical Transformations: Adjoint Functors
  • Adjoint Functors: What They are, What They Mean
  • Invariants in Foundations: Algebraic Logic
  • Invariants in Foundations: Geometric Logic
  • Conclusion.

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