Categories and Sheaves (Grundlehren der mathematischen Wissenschaften)

Categories and sheaves appear almost frequently in contemporary advanced mathematics. This book covers categories, homological algebra and sheaves in a systematic manner starting from scratch and continuing with full proofs to the most recent results in the literature, and sometimes beyond. The authors present the general theory of categories and functors, emphasizing inductive and projective limits, tensor categories, representable functors, ind-objects and localization.

• Categories for the Working Mathematician (Graduate Texts in Mathematics)
• Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Universitext)
• Differential Forms in Algebraic Topology (Graduate Texts in Mathematics)
• Introduction to Homological Algebra (Cambridge Studies in Advanced Mathematics)
• Sheaf Theory (Graduate Texts in Mathematics)
• Algebra (Graduate Texts in Mathematics)
• Algebraic Geometry (Graduate Texts in Mathematics)
• Introduction to Toric Varieties. (AM-131)
• Noncommutative Geometry
• Category Theory in Context (Aurora: Dover Modern Math Originals)