Saunders Maclane, Ieke Moerdijk

eBook, PDF

Sheaves in Geometry and Logic (eBook, PDF)

A First Introduction to Topos Theory

Beschreibung

This text presents topos theory as it has developed from the study of sheaves. Sheaves arose in geometry as coefficients for cohomology and as descriptions of the functions appropriate to various kinds of manifolds (algebraic, analytic, etc.). Sheaves also appear in logic as carriers for models of set theory as well as for the semantics of other types of logic. Grothendieck introduced a topos as a category of sheaves for algebraic geometry. Subsequently, Lawvere and Tierney obtained elementary axioms for such (more general) categories.

Technische Details

• Geräte: PC
• ohne Kopierschutz
• Größe: 53.87MB

Barrierefreiheit

• Text-to-Speech

Produktdetails

• Verlag: Springer US
• Seitenzahl: 630
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461209270
• Artikelnr.: 43992506

Rezensionen

From the reviews:

"A beautifully written book, a long and well motivated book packed with well chosen clearly explained examples. ... authors have a rare gift for conveying an insider's view of the subject from the start. This book is written in the best Mac Lane style, very clear and very well organized. ... it gives very explicit descriptions of many advanced topics--you can learn a great deal from this book that, before it was published, you could only learn by knowing researchers in the field." (Wordtrade, 2008)