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Tool and object : a history and philosophy of category theory

Author: Ralf Krömer
Publisher: Basel ; Boston : Birkhäuser, ©2007.
Series: Science networks historical studies, v. 32.
Edition/Format:   Print book : Document   Computer File : EnglishView all editions and formats
Summary:
"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 analyzed. Category theory also has an important philosophical aspect: on the one hand its set-theoretical foundation is  Read more...
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Genre/Form: History
Material Type: Document, Internet resource
Document Type: Book, Computer File, Internet Resource
All Authors / Contributors: Ralf Krömer
ISBN: 9783764375232 376437523X 9783764375249 3764375248
OCLC Number: 85242858
Description: xxxvi, 367 pages ; 24 cm.
Contents: 1. Prelude : Poincare, Wittgenstein, Peirce, and the use of concepts --
2. Category theory in algebraic topology --
3. Category theory in homological algebra --
4. Category theory in algebraic geometry --
5. From tool to object : full-fledged category theory --
6. Categories as sets : problems and solutions --
7. Categorial foundations --
8. Pragmatism and category theory.
Series Title: Science networks historical studies, v. 32.
Responsibility: Ralf Krömer.

Abstract:

Category theory is a general mathematical theory of structures and of structures of structures.  Read more...

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From the reviews:"Kroemer provides a more complete historical study of category theory and its applications from the beginnings to about 1970. ... It caught the attention of people interested in Read more...

 
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