Topos Theory (eBook)

P.T. Johnstone (Autor)

eBook Download: EPUB

2014
400 Seiten
Dover Publications (Verlag)
978-0-486-78309-3 (ISBN)

Infos

Focusing on topos theory's integration of geometric and logical ideas into the foundations of mathematics and theoretical computer science, this volume explores internal category theory, topologies and sheaves, geometric morphisms, and other subjects. 1977 edition.

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One of the best books on a relatively new branch of mathematics, this text is the work of a leading authority in the field of topos theory. Suitable for advanced undergraduates and graduate students of mathematics, the treatment focuses on how topos theory integrates geometric and logical ideas into the foundations of mathematics and theoretical computer science.After a brief overview, the approach begins with elementary toposes and advances to internal category theory, topologies and sheaves, geometric morphisms, and logical aspects of topos theory. Additional topics include natural number objects, theorems of Deligne and Barr, cohomology, and set theory. Each chapter concludes with a series of exercises, and an appendix and indexes supplement the text.

Autor

P. T. Johnstone is Professor of the Foundations of Mathematics at the University of Cambridge and a Fellow of St. John's College, Cambridge.

Produkt-Details

• Erscheint lt. Verlag: 5.1.2014
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 160 x 160 mm
• Themenwelt: Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
• Schlagworte: Algebra • arithmetic • Career • category theory • clear explanations • cohomology • College • Computers • Computer Science • dover books, dove books on mathematics, mathematics, relativity, topos, toposes integrates geometric and logical ideas into the foundations of mathematics and theoretical computer science, elementary toposes, internal category theory, topologies and sheaves, geometric morphisms, logical aspects of topos theory, algebra, arithmetic, geometry, theory, logic, theoretical, undergraduates, graduate students, geometric, college, engaging, technology, computers, career, realistic, science and math • elementary toposes • engaging • Geometric • geometric morphisms • Geometry • good examples • graduate students • internal category theory • Logic • Mathematics • Realistic • Relativity • science and math • set theory • Sheaves (Mathematics) • Technology • Theoretical • theory • topologies and sheaves • Topos • topos theory • undergraduates
• ISBN-10: 0-486-78309-X / 048678309X
• ISBN-13: 978-0-486-78309-3 / 9780486783093