A01=Amnon Neeman
Abelian category
Abelian group
Additive category
Adjoint
Adjoint functors
Associative property
Author_Amnon Neeman
Axiom
Basis (linear algebra)
Bijection
Brown's representability theorem
Cardinal number
Cardinality
Category of abelian groups
Category=PBF
Category=PBMW
Chain complex
Cohomology
Coproduct
Corollary
Counterexample
Derived category
Derived functor
Diagram (category theory)
Direct sum
Discrete valuation ring
Duality (mathematics)
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Equivalence class
Existence theorem
Existential quantification
Factorization
Functor
Functor category
Grothendieck category
Grothendieck's Tohoku paper
Group homomorphism
Homological algebra
Homotopy
Homotopy category
Homotopy category of chain complexes
Homotopy colimit
I0
Injective function
Injective object
Isomorphism class
Limit (category theory)
Limit ordinal
Linear map
Mapping cone (homological algebra)
Mathematical induction
Monomorphism
N0
Natural transformation
Open set
Partially ordered set
Prime number
Projective object
Quotient category
Regular cardinal
Special case
Spectral sequence
Subcategory
Subobject
Subsequence
Successor ordinal
Summation
Tensor product
Theorem
Transfinite
Transfinite induction
Triangulated category
Universal property
Yoneda lemma
Product details
- ISBN 9780691086866
- Weight: 624g
- Dimensions: 152 x 235mm
- Publication Date: 23 Jan 2001
- Publisher: Princeton University Press
- Publication City/Country: US
- Product Form: Paperback
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The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among other material, some remarkable improvements on Brown's classical representability theorem. In addition, the author introduces a class of triangulated categories"--the "well generated triangulated categories"--and studies their properties. This exercise is particularly worthwhile in that many examples of triangulated categories are well generated, and the book proves several powerful theorems for this broad class. These chapters will interest researchers in the fields of algebra, algebraic geometry, homotopy theory, and mathematical physics.
Amnon Neeman holds a Ph.D. in algebraic geometry from Harvard University. He has taught at Princeton University and the University of Virginia and is currently Senior Visiting Fellow at the Australian National University in Canberra. He has published widely on derived and triangulated categories.
