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Sheaves in Geometry and Logic: A First Introduction to Topos Theory
Paperback
Series: Universitext
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ISBN10: 0387977104
ISBN13: 9780387977102
Publisher: Springer
Published: May 14 1992
Pages: 630
Weight: 1.98
Height: 1.31 Width: 6.14 Depth: 9.21
Language: English
ISBN13: 9780387977102
Publisher: Springer
Published: May 14 1992
Pages: 630
Weight: 1.98
Height: 1.31 Width: 6.14 Depth: 9.21
Language: English
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.
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