Bousfield classes and Ohkawa's theorem : Nagoya, Japan, August 28-30, 2015 /: Nagoya, Japan, August 28-30, 2015. (2020)

• Record Type: Book
• Further Information: Note: Edited by Takeo Ohsawa, Norihiko Minami.
• Other Names: Ohsawa, Takeo; Minami, Norihiko
• Contents: Intro -- Foreword -- Contents -- Memories on Ohkawa's Mathematical Life in Hiroshima -- 1 Master Thesis -- 2 MathSciNet -- 3 RIMS Kokyuroku -- 4 Some Comments -- Depth and Simplicity of Ohkawa's Argument -- 1 Introduction -- 2 Homology Theories -- 3 Spectra and Representability -- 4 Bousfield Equivalence Classes of Spectra -- 5 Okhawa's Argument -- 6 Other Proofs and Extensions of Ohkawa's Theorem -- 7 Nonrepresentable Homology Theories -- References -- From Ohkawa to Strong Generation via Approximable Triangulated Categories-A Variation on the Theme of Amnon Neeman's Nagoya Lecture Series 1 Introduction -- 2 Ohkawa's Theorem on Bousfield Classes Forming a Set, and Its Shadows in Algebraic Geometry -- 2.1 Bousfield Localizations -- 2.2 Bousfield Classes and Ohkawa's Theorem -- 2.3 Casacuberta-Gutiérrez-Rosický Theorem, Motivic Analogue of Ohkawa's Theorem -- 2.4 Localizing Tensor Ideals of Derived Categories and the Fundamental Theorem of Hopkins, Neeman, Thomason and Others -- 3 Hopkins-Smith Theorem and Its Motivic Analogue -- 4 `3́9`42`""̇613A``45`47`""603ADbcoh(X) and `3́9`42`""̇613A``45`47`""603ADperf(X) -- 4.1 `3́9`42`""̇613A``45`47`""603ADbcoh(X) 4.2 `3́9`42`""̇613A``45`47`""603ADperf(X) -- 4.3 `3́9`42`""̇613A``45`47`""603ADbcoh(X) and `3́9`42`""̇613A``45`47`""603ADperf(X) Determine Each Other -- 5 Strong Generation in Derived Categories of Schemes -- 5.1 Strong Generation of `3́9`42`""̇613A``45`47`""603ADperf(X) -- 5.2 Strong Generation of `3́9`42`""̇613A``45`47`""603ADbcoh(X) -- References -- Combinatorial Homotopy Categories -- 1 Introduction -- 2 Combinatorial Model Categories -- 3 Restricted Yoneda Embedding -- 4 Ohkawa's Theorem -- 5 Generalized Brown Representability -- References -- Notes on an Algebraic Stable Homotopy Category 1 Introduction -- 2 Ohkawa Theorem -- 3 Bousfield Classes and Supports on mathcalG-Finite Objects -- References -- Thick Ideals in Equivariant and Motivic Stable Homotopy Categories -- 1 Introduction -- 2 Thick Ideals in Classical Stable Homotopy Theory -- 3 Thick Ideals in Equivariant Stable Homotopy Theory -- 3.1 Equivariant Stable Homotopy Theory -- 3.2 Equivariant Morava K-Theories -- 3.3 Nilpotence and Lattices of Thick Ideals -- 3.4 Thick Ideals and Equivariant Morava K-Theories -- 3.5 Thick Ideals in mathcalSH(mathbbZ/2)f -- 4 Comparison Functors -- 4.1 Symmetric mathbbCP1-Spectra 4.2 mathbbZ/2-Equivariant Symmetric Spectra -- 4.3 Complex and Real Topological Realisation Functors -- 4.4 Realisation Functors for Other Fields -- 4.5 Constant Presheaf Functors -- 5 Thick Ideals Discovered by Comparison Functors -- 5.1 Consequences of the Properties of Rk, R'k, ck and c'k -- 5.2 Finite Motivic Spectra -- 5.3 Motivic Thick Ideals -- 6 Thick Ideals Associated with Cohomology Theories -- 6.1 Equivalence of Homology and Cohomology Theories -- 6.2 Thick Ideals -- 6.3 Construction and Properties of AK(n) -- 6.4 Thick Ideals and Morava K-Theories
• Publisher Details: Singapore : Springer
• Publication Date: 2020
• Extent: 1 online resource (438 pages)
• Subjects: 514/.24; Homotopy theory; Homotopy theory; Electronic books
• Languages: English
• ISBNs: 9789811515880; 9811515883
• Related ISBNs: 9789811515873; 9811515875
• Notes: Note: Print version record.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.