1992, ISBN: 9780691025728

Taschenbuch

Princeton, N.J. : Princeton University Press, 1992. 1st edition. Softcover. Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight,… Mehr…

Princeton, N.J. : Princeton University Press, 1992. 1st edition. Softcover. Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; xiv, 209 pp. Notes; Includes bibliographical references (pages 195-204) and index. Contents; 1. The main theorems -- 1.1. Homotopy -- 1.2. Functors -- 1.3. Suspension -- 1.4. Self-maps and the nilpotence theorem -- 1.5. Morava K-theories and the periodicity theorem -- 2. Homotopy groups and the chromatic filtration -- 2.1. definition of homotopy groups -- 2.2. Classical theorems -- 2.3. Cofibres -- 2.4. Motivating examples -- 2.5. chromatic filtration -- 3. MU-theory and formal group laws -- 3.1. Complex bordism -- 3.2. Formal group laws -- 3.3. category C[Gamma] -- 3.4. Thick subcategories -- 4. Morava's orbit picture and Morava stabilizer groups -- 4.1. action of [Gamma] on L -- 4.2. Morava stabilizer groups -- 4.3. Cohomological properties of S[subscript n] -- 5. thick subcategory theorem -- 5.1. Spectra -- 5.2. Spanier-Whitehead duality -- 5.3. proof of the thick subcategory theorem -- 6. periodicity theorem -- 6.1. Properties of [upsilon][subscript n]-maps -- 6.2. Steenrod algebra and Margolis homology groups -- 6.3. Adams spectral sequence and the [upsilon][[subscript n]-map on Y -- 6.4. Smith construction -- 7. Bousfield localization and equivalence -- 7.1. Basic definitions and examples -- 7.2. Bousfield equivalence -- 7.3. structure of (MU) -- 7.4. Some classes bigger than (MU) -- 7.5. E(n)-localization and the chromatic filtration -- 8. proofs of the localization, smash product and chromatic convergence theorems -- 8.1. L[subscript n]BP and the localization theorem -- 8.2. Reducing the smash product theorem to a special example -- 8.3. Constructing a finite torsion free prenilpotent spectrum -- 8.4. Some cohomological properties of profinite groups -- 8.5. action of S[subscript m] on [actual symbol not reproducible] -- 8.6. Chromatic convergence -- 9. proof of the nilpotence theorem -- 9.1. spectra X(n) -- 9.2. proofs of the first two lemmas -- 9.3. paradigm for proving the third lemma 9.4. Snaith splitting of [Omega][superscript 2]S[superscript 2m+1] -- 9.5. proof of the third lemma -- 9.6. Historical note: theorems of Nishida and Toda -- A. Some tools from homotopy theory -- A.1. CW-complexes -- A.2. Loop spaces and spectra -- A.3. Generalized homology and cohomology theories -- A.4. Brown representability -- A.5. Limits in the stable homotopy category -- A.6. Adams spectral sequence -- B. Complex bordism and BP-theory -- B.1. Vector bundles and Thom spectra -- B.2. Pontrjagin-Thom construction -- B.3. Hopf algebroids -- B.4. structure of [actual symbol not reproducible] -- B.5. BP-theory -- B.6. Landweber exact functor theorem -- B.7. Morava K-theories -- B.8. change-of-rings isomorphism and the chromatic spectral sequence -- C. Some idempotents associated with the symmetric group -- C.1. Constructing the idempotents -- C.2. Idempotents for graded vector spaces -- C.3. Getting strongly type n spectra from partially type n spectra. Subjects; Homotopy theory. Topology. Nilpotent groups. Mathematics., Princeton, N.J. : Princeton University Press, 1992, 0<

1992, ISBN: 069102572X

Taschenbuch

[EAN: 9780691025728], [SC: 9.61], [PU: Princeton, N.J. : Princeton University Press], Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overal… Mehr…

[EAN: 9780691025728], [SC: 9.61], [PU: Princeton, N.J. : Princeton University Press], Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; xiv, 209 pp. Notes; Includes bibliographical references (pages 195-204) and index. Contents; 1. The main theorems -- 1.1. Homotopy -- 1.2. Functors -- 1.3. Suspension -- 1.4. Self-maps and the nilpotence theorem -- 1.5. Morava K-theories and the periodicity theorem -- 2. Homotopy groups and the chromatic filtration -- 2.1. definition of homotopy groups -- 2.2. Classical theorems -- 2.3. Cofibres -- 2.4. Motivating examples -- 2.5. chromatic filtration -- 3. MU-theory and formal group laws -- 3.1. Complex bordism -- 3.2. Formal group laws -- 3.3. category C[Gamma] -- 3.4. Thick subcategories -- 4. Morava's orbit picture and Morava stabilizer groups -- 4.1. action of [Gamma] on L -- 4.2. Morava stabilizer groups -- 4.3. Cohomological properties of S[subscript n] -- 5. thick subcategory theorem -- 5.1. Spectra -- 5.2. Spanier-Whitehead duality -- 5.3. proof of the thick subcategory theorem -- 6. periodicity theorem -- 6.1. Properties of [upsilon][subscript n]-maps -- 6.2. Steenrod algebra and Margolis homology groups -- 6.3. Adams spectral sequence and the [upsilon][[subscript n]-map on Y -- 6.4. Smith construction -- 7. Bousfield localization and equivalence -- 7.1. Basic definitions and examples -- 7.2. Bousfield equivalence -- 7.3. structure of (MU) -- 7.4. Some classes bigger than (MU) -- 7.5. E(n)-localization and the chromatic filtration -- 8. proofs of the localization, smash product and chromatic convergence theorems -- 8.1. L[subscript n]BP and the localization theorem -- 8.2. Reducing the smash product theorem to a special example -- 8.3. Constructing a finite torsion free prenilpotent spectrum -- 8.4. Some cohomological properties of profinite groups -- 8.5. action of S[subscript m] on [actual symbol not reproducible] -- 8.6. Chromatic convergence -- 9. proof of the nilpotence theorem -- 9.1. spectra X(n) -- 9.2. proofs of the first two lemmas -- 9.3. paradigm for proving the third lemma 9.4. Snaith splitting of [Omega][superscript 2]S[superscript 2m+1] -- 9.5. proof of the third lemma -- 9.6. Historical note: theorems of Nishida and Toda -- A. Some tools from homotopy theory -- A.1. CW-complexes -- A.2. Loop spaces and spectra -- A.3. Generalized homology and cohomology theories -- A.4. Brown representability -- A.5. Limits in the stable homotopy category -- A.6. Adams spectral sequence -- B. Complex bordism and BP-theory -- B.1. Vector bundles and Thom spectra -- B.2. Pontrjagin-Thom construction -- B.3. Hopf algebroids -- B.4. structure of [actual symbol not reproducible] -- B.5. BP-theory -- B.6. Landweber exact functor theorem -- B.7. Morava K-theories -- B.8. change-of-rings isomorphism and the chromatic spectral sequence -- C. Some idempotents associated with the symmetric group -- C.1. Constructing the idempotents -- C.2. Idempotents for graded vector spaces -- C.3. Getting strongly type n spectra from partially type n spectra. Subjects; Homotopy theory. Topology. Nilpotent groups. Mathematics. 1 Kg., Books<

1992, ISBN: 069102572X

Taschenbuch

[EAN: 9780691025728], [PU: Princeton, N.J. : Princeton University Press], Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, br… Mehr…

[EAN: 9780691025728], [PU: Princeton, N.J. : Princeton University Press], Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; xiv, 209 pp. Notes; Includes bibliographical references (pages 195-204) and index. Contents; 1. The main theorems -- 1.1. Homotopy -- 1.2. Functors -- 1.3. Suspension -- 1.4. Self-maps and the nilpotence theorem -- 1.5. Morava K-theories and the periodicity theorem -- 2. Homotopy groups and the chromatic filtration -- 2.1. definition of homotopy groups -- 2.2. Classical theorems -- 2.3. Cofibres -- 2.4. Motivating examples -- 2.5. chromatic filtration -- 3. MU-theory and formal group laws -- 3.1. Complex bordism -- 3.2. Formal group laws -- 3.3. category C[Gamma] -- 3.4. Thick subcategories -- 4. Morava's orbit picture and Morava stabilizer groups -- 4.1. action of [Gamma] on L -- 4.2. Morava stabilizer groups -- 4.3. Cohomological properties of S[subscript n] -- 5. thick subcategory theorem -- 5.1. Spectra -- 5.2. Spanier-Whitehead duality -- 5.3. proof of the thick subcategory theorem -- 6. periodicity theorem -- 6.1. Properties of [upsilon][subscript n]-maps -- 6.2. Steenrod algebra and Margolis homology groups -- 6.3. Adams spectral sequence and the [upsilon][[subscript n]-map on Y -- 6.4. Smith construction -- 7. Bousfield localization and equivalence -- 7.1. Basic definitions and examples -- 7.2. Bousfield equivalence -- 7.3. structure of (MU) -- 7.4. Some classes bigger than (MU) -- 7.5. E(n)-localization and the chromatic filtration -- 8. proofs of the localization, smash product and chromatic convergence theorems -- 8.1. L[subscript n]BP and the localization theorem -- 8.2. Reducing the smash product theorem to a special example -- 8.3. Constructing a finite torsion free prenilpotent spectrum -- 8.4. Some cohomological properties of profinite groups -- 8.5. action of S[subscript m] on [actual symbol not reproducible] -- 8.6. Chromatic convergence -- 9. proof of the nilpotence theorem -- 9.1. spectra X(n) -- 9.2. proofs of the first two lemmas -- 9.3. paradigm for proving the third lemma 9.4. Snaith splitting of [Omega][superscript 2]S[superscript 2m+1] -- 9.5. proof of the third lemma -- 9.6. Historical note: theorems of Nishida and Toda -- A. Some tools from homotopy theory -- A.1. CW-complexes -- A.2. Loop spaces and spectra -- A.3. Generalized homology and cohomology theories -- A.4. Brown representability -- A.5. Limits in the stable homotopy category -- A.6. Adams spectral sequence -- B. Complex bordism and BP-theory -- B.1. Vector bundles and Thom spectra -- B.2. Pontrjagin-Thom construction -- B.3. Hopf algebroids -- B.4. structure of [actual symbol not reproducible] -- B.5. BP-theory -- B.6. Landweber exact functor theorem -- B.7. Morava K-theories -- B.8. change-of-rings isomorphism and the chromatic spectral sequence -- C. Some idempotents associated with the symmetric group -- C.1. Constructing the idempotents -- C.2. Idempotents for graded vector spaces -- C.3. Getting strongly type n spectra from partially type n spectra. Subjects; Homotopy theory. Topology. Nilpotent groups. Mathematics. 1 Kg., Books<

1992, ISBN: 069102572X

Taschenbuch

[EAN: 9780691025728], [PU: Princeton, N.J. : Princeton University Press], Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, br… Mehr…

[EAN: 9780691025728], [PU: Princeton, N.J. : Princeton University Press], Near fine paperback copy; edges very slightly dust-dulled. Remains particularly well-preserved overall; tight, bright, clean and especially sharp-cornered. Physical description; xiv, 209 pp. Notes; Includes bibliographical references (pages 195-204) and index. Contents; 1. The main theorems -- 1.1. Homotopy -- 1.2. Functors -- 1.3. Suspension -- 1.4. Self-maps and the nilpotence theorem -- 1.5. Morava K-theories and the periodicity theorem -- 2. Homotopy groups and the chromatic filtration -- 2.1. definition of homotopy groups -- 2.2. Classical theorems -- 2.3. Cofibres -- 2.4. Motivating examples -- 2.5. chromatic filtration -- 3. MU-theory and formal group laws -- 3.1. Complex bordism -- 3.2. Formal group laws -- 3.3. category C[Gamma] -- 3.4. Thick subcategories -- 4. Morava's orbit picture and Morava stabilizer groups -- 4.1. action of [Gamma] on L -- 4.2. Morava stabilizer groups -- 4.3. Cohomological properties of S[subscript n] -- 5. thick subcategory theorem -- 5.1. Spectra -- 5.2. Spanier-Whitehead duality -- 5.3. proof of the thick subcategory theorem -- 6. periodicity theorem -- 6.1. Properties of [upsilon][subscript n]-maps -- 6.2. Steenrod algebra and Margolis homology groups -- 6.3. Adams spectral sequence and the [upsilon][[subscript n]-map on Y -- 6.4. Smith construction -- 7. Bousfield localization and equivalence -- 7.1. Basic definitions and examples -- 7.2. Bousfield equivalence -- 7.3. structure of (MU) -- 7.4. Some classes bigger than (MU) -- 7.5. E(n)-localization and the chromatic filtration -- 8. proofs of the localization, smash product and chromatic convergence theorems -- 8.1. L[subscript n]BP and the localization theorem -- 8.2. Reducing the smash product theorem to a special example -- 8.3. Constructing a finite torsion free prenilpotent spectrum -- 8.4. Some cohomological properties of profinite groups -- 8.5. action of S[subscript m] on [actual symbol not reproducible] -- 8.6. Chromatic convergence -- 9. proof of the nilpotence theorem -- 9.1. spectra X(n) -- 9.2. proofs of the first two lemmas -- 9.3. paradigm for proving the third lemma 9.4. Snaith splitting of [Omega][superscript 2]S[superscript 2m+1] -- 9.5. proof of the third lemma -- 9.6. Historical note: theorems of Nishida and Toda -- A. Some tools from homotopy theory -- A.1. CW-complexes -- A.2. Loop spaces and spectra -- A.3. Generalized homology and cohomology theories -- A.4. Brown representability -- A.5. Limits in the stable homotopy category -- A.6. Adams spectral sequence -- B. Complex bordism and BP-theory -- B.1. Vector bundles and Thom spectra -- B.2. Pontrjagin-Thom construction -- B.3. Hopf algebroids -- B.4. structure of [actual symbol not reproducible] -- B.5. BP-theory -- B.6. Landweber exact functor theorem -- B.7. Morava K-theories -- B.8. change-of-rings isomorphism and the chromatic spectral sequence -- C. Some idempotents associated with the symmetric group -- C.1. Constructing the idempotents -- C.2. Idempotents for graded vector spaces -- C.3. Getting strongly type n spectra from partially type n spectra. Subjects; Homotopy theory. Topology. Nilpotent groups. Mathematics. 1 Kg., Books<