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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Krömer, Ralf (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Birkhäuser Basel, 2007.
Σειρά:Science Networks. Historical Studies ; 32
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
Πίνακας περιεχομένων:
  • 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.