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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 "ients. 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.

Categories (Mathematics). --- Category theory. Homological algebra --- Categories (Mathematics) --- 512.58 --- 512.58 Categories. Category theory --- Categories. Category theory --- Category theory (Mathematics) --- Algebra, Homological --- Algebra, Universal --- Group theory --- Logic, Symbolic and mathematical --- Topology --- Functor theory --- Abelian category. --- Abelian group. --- Additive category. --- Adjoint functors. --- Adjoint. --- Adjunction (field theory). --- Associative property. --- Axiom. --- Basis (linear algebra). --- Bijection. --- Biproduct. --- Brown's representability theorem. --- Cardinal number. --- Cardinality. --- Category of abelian groups. --- Chain complex. --- Class (set theory). --- Cohomology. --- Computation. --- Coproduct. --- Corollary. --- Countable set. --- Counterexample. --- Derived category. --- Derived functor. --- Diagram (category theory). --- Direct limit. --- Direct sum. --- Discrete valuation ring. --- Duality (mathematics). --- Embedding. --- Equivalence class. --- Equivalence of categories. --- Exact functor. --- Exact sequence. --- Existence theorem. --- Existential quantification. --- Factorization. --- Finitely generated abelian group. --- Functor category. --- Functor. --- Grothendieck category. --- Grothendieck's Tôhoku paper. --- Group homomorphism. --- Homological algebra. --- Homotopy category of chain complexes. --- Homotopy category. --- Homotopy colimit. --- Homotopy. --- I0. --- Injective function. --- Injective object. --- Integer. --- Isomorph. --- Isomorphism class. --- Jack Morava. --- K-theory. --- Limit (category theory). --- Limit of a sequence. --- Limit ordinal. --- Linear map. --- Mapping cone (homological algebra). --- Mathematical induction. --- Maximal ideal. --- Module (mathematics). --- Monomorphism. --- Moore space. --- Morphism. --- N0. --- Natural transformation. --- Open set. --- Partially ordered set. --- Pierre Deligne. --- Prime number. --- Projective object. --- Proportionality (mathematics). --- Quotient category. --- Regular cardinal. --- Representable functor. --- Sheaf (mathematics). --- Special case. --- Spectral sequence. --- Subcategory. --- Subobject. --- Subsequence. --- Subset. --- Successor ordinal. --- Summation. --- Tautology (logic). --- Tensor product. --- Theorem. --- Theory. --- Topological group. --- Transfinite induction. --- Transfinite. --- Triangulated category. --- Universal property. --- Vector space. --- Vladimir Voevodsky. --- Yoneda lemma.

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Long-term exposure to environmental toxicants is estimated to account for 70–90% of the risks of acquiring chronic ailments. Presently, chronic kidney disease and infertility affect a significant proportion of the world population, while research data indicate that exposure to toxic metals may contribute to the looming statistics. Alarming evidence suggests that exposure to the heavy metal cadmium may affect every stage of life, and exposure in early life may determine susceptibility to certain diseases in adulthood. Prevention of these outcomes requires avoidance of further environmental contamination, minimization of exposure, and reduction of toxic metals in food crops to the lowest achievable levels.

Trace elements --- hair --- children --- hazardous waste incinerator --- Constantí (Catalonia, Spain) --- blood lead level --- boatyard --- childhood --- lead poisoning --- fishing community --- lead weights --- β2-microglobulin --- cadmium --- creatinine clearance --- glomerular filtration --- N-acetyl-β-d-glucosaminidase --- nephron mass --- nephrotoxicity --- trace elements --- autopsy tissues --- temporal trends --- creatinine excretion --- glomerular filtration rate --- lead --- kidney --- endocytosis --- metallothionein --- flow cytometry --- proximal tubule epithelial cells --- OGTT --- minimal model --- glucose response mechanism --- genotoxicity --- aluminum chloride --- rats --- food --- farmer --- PTWI (provisional tolerable monthly intake) --- TWI (tolerable weekly intake) --- Monte Carlo simulation --- mercury --- obesogen --- lipid profiles --- hyperlipidemia --- elevated liver enzymes --- hexavalent chromium [Cr(VI)] --- mitochondrial fragmentation --- dynamin-related protein 1 (Drp1) --- mitochondrial respiratory chain complex I (MRCC I) --- reactive oxygen species (ROS) --- blood lead --- cellular immunity --- phagocytosis --- humoral munity --- immunosuppression --- insulin --- diabetes --- hyperglycemia --- hyperinsulinemia --- lipogenic --- β-cell toxicity --- stroke --- cerebrovascular accident --- heavy metal --- rare earth element --- case-control study --- mortality --- lifetime cadmium intake --- renal diseases --- urinary cadmium --- a follow-up study --- diet --- kidney function --- chronic kidney disease --- threshold limit --- tolerable intake level --- heavy metals --- birth weight --- preterm birth --- diet pattern --- Mediterranean diet --- pregnancy --- toxic metals --- reproduction --- testicular and ovarian structure --- n/a --- Constantí (Catalonia, Spain)