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20240329122006.0 |
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151005s2007 riu o 000 0 eng d |
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|a LIP
|b eng
|c LIP
|d OCLCO
|d EBLCP
|d DEBSZ
|d OCLCF
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCL
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|a 922981130
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|a 9780821881156
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|a 0821881159
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|a DEBSZ
|b 44962157X
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|a AU@
|b 000069466741
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|a (OCoLC)990454897
|z (OCoLC)922981130
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|a QA612.7 ǂb .S86 2004eb
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|a 514/.24
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|a UAMI
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|a Avramov, Luchezar L.
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|a Interactions between Homotopy Theory and Algebra
|h [electronic resource].
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3 |
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|a Contemporary Mathematics
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| 246 |
3 |
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|a Contemporary Mathematics, Volume 436
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|a Interactions between homotopy theory and algebra: Summer School on Interactions between Homotopy Theory and Algebra, University of Chicago, July 26-August 6, 2004, Chicago, Illinois
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| 260 |
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|a Providence :
|b American Mathematical Society,
|c 2007.
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| 300 |
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|a 1 online resource (352 p.)
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| 336 |
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|a text
|b txt
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| 337 |
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|a computer
|b c
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| 338 |
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|a online resource
|b cr
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| 490 |
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|a Contemporary Mathematics ;
|v v.436
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| 500 |
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|a Description based upon print version of record.
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|a ""Contents""; ""Preface""; ""List of Participants""; ""Introductory Lecture Series""; ""Model Categories and Simplicial Methods""; ""1. Model Categories and Resolutions""; ""2. Quillen Functors and Derived Functors""; ""3. Generating New Model Categories""; ""4. Simplicial Algebras and Resolutions in Non-abelian Settings""; ""5. Resolutions in Model Categories""; ""References""; ""Lectures on Local Cohomology""; ""1. Introduction""; ""2. Local Cohomology""; ""3. Injective Modules over Noetherian Rings and Matlis Duality""; ""4. Cohen-Macaulay and Gorenstein rings""
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|a ""5. Vanishing Theorems and the Structure of Hdm(R)""""6. Vanishing Theorems II""; ""7. Appendix 1: Using local cohomology to prove a result of Kalkbrenner and Sturmfels""; ""8. Appendix 2: Bass numbers and Gorenstein Rings""; ""References""; ""Derived categories, resolutions, and Brown representability""; ""Introduction""; ""1. Derived categories""; ""1.1. Additive and abelian categories""; ""1.2. Categories of complexes""; ""1.3. Localization""; ""1.4. An alternative definition""; ""1.5. Extension groups""; ""1.6. Hereditary categories""; ""1. 7. Bounded derived categories""; ""1.8. Notes""
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|a ""2. Triangulated categories""""2.1. The axioms""; ""2.2. The octahedral axiom""; ""2.3. Cohomological functors""; ""2.4. Uniqueness of exact triangles""; ""2.5. K(A) is triangulated""; ""2.6. Notes""; ""3. Localization of triangulated categories""; ""3.1. Quasi-isomorphisms""; ""3.2. D(A) is triangulated""; ""3.3. Triangulated and thick subcategories""; ""3.4. The kernel of a localization""; ""3.5. Verdier localization""; ""3.6. Notes""; ""4. Brown representability""; ""4.1. Coherent functors""; ""4.2. The abelianization of a triangulated category""
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|a ""4.3. The idempotent completion of a triangulated category""""4.4. Homotopy colimits""; ""4.5. Brown representability""; ""4.6. Notes""; ""5. Resolutions""; ""5.1. Injective resolutions""; ""5.2. Projective Resolutions""; ""5.3. Derived functors""; ""5.4. Notes""; ""6. Differential graded algebras and categories""; ""6.1. Differential graded algebras and modules""; ""6.2. Differential graded categories""; ""6.3. Duality""; ""6.4. Injective and projective resolutions""; ""6.5. Compact objects and perfect complexes""; ""6.6. Notes""; ""7. Algebraic triangulated categories""
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|a ""7.1. Exact categories""""7.2. Frobenius categories""; ""7.3. The derived category of an exact category""; ""7.4. The stable category of a Frobenius category""; ""7.5. Algebraic triangulated categories""; ""7.6. The stable homotopy category is not algebraic""; ""7. 7. The differential graded category of an exact category""; ""7.8. Notes""; ""Appendix A. The octahedral axiom""; ""References""; ""Exercises on derived categories, resolutions, and Brown representability""; ""Topics Lecture Series""; ""Spectra for commutative algebraists""; ""0. Introduction.""
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| 500 |
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|a ""1. Motivation via the derived category.""
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| 546 |
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|a English.
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| 590 |
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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| 650 |
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0 |
|a Homotopy theory
|v Congresses.
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| 650 |
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0 |
|a Commutative algebra
|v Congresses.
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| 650 |
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4 |
|a Commutative algebra -- Congresses.
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| 650 |
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4 |
|a Homotopy theory -- Congresses.
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| 650 |
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6 |
|a Homotopie
|v Congrès.
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| 650 |
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6 |
|a Algèbre commutative
|v Congrès.
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| 650 |
|
7 |
|a Commutative algebra
|2 fast
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| 650 |
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7 |
|a Homotopy theory
|2 fast
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| 650 |
|
7 |
|a Mathematics.
|2 hilcc
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| 650 |
|
7 |
|a Physical Sciences & Mathematics.
|2 hilcc
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| 650 |
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7 |
|a Geometry.
|2 hilcc
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| 655 |
|
7 |
|a Conference papers and proceedings
|2 fast
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| 700 |
1 |
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|a Christensen, J.Daniel.
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| 700 |
1 |
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|a Dwyer, William G.
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| 710 |
2 |
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|a Summer School on Interactions between Homotopy Theory and Algebra
|e Corporate Author.
|
| 711 |
2 |
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|a Summer School on Interactions between Homotopy Theory and Algebra.
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| 758 |
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|i has work:
|a Interactions between homotopy theory and algebra (Text)
|1 https://id.oclc.org/worldcat/entity/E39PCGxbM7GQk8YYJMqPMMbdjP
|4 https://id.oclc.org/worldcat/ontology/hasWork
|
| 776 |
0 |
8 |
|i Print version:
|a Avramov, Luchezar L.
|t Interactions between Homotopy Theory and Algebra.
|d Providence : American Mathematical Society, ©2007
|z 9780821838143
|
| 830 |
|
0 |
|a Contemporary Mathematics.
|
| 856 |
4 |
0 |
|u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113356
|z Texto completo
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| 938 |
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|a ProQuest Ebook Central
|b EBLB
|n EBL3113356
|
| 994 |
|
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|a 92
|b IZTAP
|
