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...

Полное описание

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Библиографические подробности
Главный автор: Krömer, Ralf, 1972-
Формат: Livre numérique
Язык:Anglais
Опубликовано: Basel : Birkhäuser Basel [20..].
Cham : Springer Nature
Редактирование:1st ed. 2007.
Серии:Science Networks. Historical Studies 32
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Примечание: L'impression du document génère xxxvi, 367 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Tool and object, a history and philosophy of category theory, Ralf Krömer, 2007, Basel, Birkhäuser, 1 vol. (XXXVI-367 p.), Science networks, 978-3-7643-7523-2
• Tool and Object, Texte imprimé, 9783764391102
• Tool and object, a history and philosophy of category theory, Ralf Krömer, 2007, Basel, Birkhäuser, 1 vol. (XXXVI-367 p.), Science networks, 978-3-7643-7523-2
Оглавление:
  • 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