عنوان
پدید آورنده
موضوع
رده
QA612.78 -- R37 1986eb
QA612
.
78
--
R37
1986eb
کتابخانه
محل استقرار
0080874401
9780080874401
b723501
Complex cobordism and stable homotopy groups of spheres.
[Book]
Burlington :
Elsevier Science,
2014.
1 online resource (435 pages).
Pure and Applied Mathematics ;
v. 121
Front Cover; COMPLEX COBORDISM AND STABLE HOMOTOPY GROUPS OF SPHERES; Copyright Page; Contents; Preface; Notations and Commonly Used Abbreviations; Chapter 1. An Introduction to the Homotopy Groups of Spheres; 1. Classical Theorems Old and New; 2. Methods of Computing (Sn); 3. The Adams-Novikov E2-Term, Formal Group Laws, and the Greek Letter Construction; 4. More Formal Group Law Theory, BP-Theory, Morava's Point of View, and the Chromatic Spectral Sequence; 5. Unstable Homotopy Groups and the EHP Spectral Sequence; Chapter 2. Setting Up the Adams Spectral Sequence.
1. The Classical Adams Spectral Sequence2. The Adams Spectral Sequence Based on a Generalized Homology Theory; 3. The Smash Product Pairing and the Generalized Connecting Homomorphism; Chapter 3. The Classical Adams Spectral Sequence; 1. The Steenrod Algebra and Some Easy Calculations; 2. The May Spectral Sequence; 3. The Lambda Algebra; 4. Some General Properties of Ext; 5. Survey and Further Reading; Chapter 4. BP-Theory and the Adams-Novikov Spectral Sequence; 1. Quillen's Theorem and the Structure of BP*(BP); 2. A Survey of BP-Theory; 3. Some Calculations in BP*(BP).
1. The Method of Infinite Descent2. The Complex C1,1; 3. The Homotopy Groups of a Complex with p Cells; 4. The ''Algorithm'' and Computations at p = 3; 5. Computations for p = 5; Appendix 1. Hopf Algebras and Hopf Algebroids; 1. Basic Definitions; 2. Homological Algebra; 3. Some Spectral Sequences; 4. Massey Products; 5. Algebraic Steenrod Operations; Appendix 2. Formal Group Laws; 1. Universal Formal Group Laws and Strict Isomorphisms; 2. Classification and Endomorphism Rings; Appendix 3. Tables of Homotopy Groups of Spheres; References; Index.
4. Beginning Calculations with the Adams-Novikov Spectral SequenceChapter 5. The Chromatic Spectral Sequence; 1. The Algebraic Construction; 2. Ext1(BP*/In) and Hopf Invariant One; 3. Ext(M1) and the J-Homomorphism; 4. Ext2 and the Thom Reduction; 5. Periodic Families in Ext2; 6. Elements in Ext3 and Beyond; Chapter 6. Morava Stabilizer Algebras; 1. The Change-of-Rings Isomorphism; 2. The Structure of (n); 3. The Cohomology of (n); 4. The Odd Primary Kervaire Invariant Elements; 5. The Spectra T(n); Chapter 7. Computing Stable Homotopy Groups with the Adams -- Novikov Spectral Sequence.
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Complex cobordism and stable homotopy groups of spheres.
Complex cobordism and stable homotopy groups of spheres.
9780125834308
Cobordism theory.
Homotopy groups.
Spectral sequences (Mathematics)
Sphere.
510
QA612
.
78
--
R37
1986eb
Ravenel, Douglas C.
20201209095542.0
pn
مطالعه متن کتاب [Book]
Y
