Infinite Loop Spaces (AM-90), Volume 90 : : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / / John Frank Adams.
The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boa...
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| Superior document: | Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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| Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [1978] ©1979 |
| Year of Publication: | 1978 |
| Language: | English |
| Series: | Annals of Mathematics Studies ;
90 |
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| Physical Description: | 1 online resource (230 p.) |
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Adams, John Frank, author. aut http://id.loc.gov/vocabulary/relators/aut Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / John Frank Adams. Princeton, NJ : Princeton University Press, [1978] ©1979 1 online resource (230 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Annals of Mathematics Studies ; 90 Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BACKGROUND AND PRELIMINARIES -- CHAPTER 2. MACHINERY -- CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION" -- CHAPTER 4. TRANSFER -- CHAPTER 5. THE ADAMS CONJECTURE -- CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE -- CHAPTER 7. THE STATE OF THE ART -- REFERENCES -- INDEX -- Backmatter restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The theory of infinite loop spaces has been the center of much recent activity in algebraic topology. Frank Adams surveys this extensive work for researchers and students. Among the major topics covered are generalized cohomology theories and spectra; infinite-loop space machines in the sense of Boadman-Vogt, May, and Segal; localization and group completion; the transfer; the Adams conjecture and several proofs of it; and the recent theories of Adams and Priddy and of Madsen, Snaith, and Tornehave. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 31. Jan 2022) Infinite loop spaces. MATHEMATICS / General. bisacsh Abelian group. Adams spectral sequence. Adjoint functors. Algebraic K-theory. Algebraic topology. Automorphism. Axiom. Bott periodicity theorem. CW complex. Calculation. Cartesian product. Cobordism. Coefficient. Cofibration. Cohomology operation. Cohomology ring. Cohomology. Commutative diagram. Continuous function. Counterexample. De Rham cohomology. Diagram (category theory). Differentiable manifold. Dimension. Discrete space. Disjoint union. Double coset. Eilenberg-Steenrod axioms. Eilenberg. Endomorphism. Epimorphism. Equivalence class. Euler class. Existential quantification. Explicit formulae (L-function). Exterior algebra. F-space. Fiber bundle. Fibration. Finite group. Function composition. Function space. Functor. Fundamental class. Fundamental group. Geometry. H-space. Homology (mathematics). Homomorphism. Homotopy category. Homotopy group. Homotopy. Hurewicz theorem. Inverse limit. J-homomorphism. K-theory. Limit (mathematics). Loop space. Mathematical induction. Maximal torus. Module (mathematics). Monoid. Monoidal category. Moore space. Morphism. Multiplication. Natural transformation. P-adic number. P-complete. Parameter space. Permutation. Prime number. Principal bundle. Principal ideal domain. Pullback (category theory). Quotient space (topology). Reduced homology. Riemannian manifold. Ring spectrum. Serre spectral sequence. Simplicial set. Simplicial space. Special case. Spectral sequence. Stable homotopy theory. Steenrod algebra. Subalgebra. Subring. Subset. Surjective function. Theorem. Theory. Topological K-theory. Topological ring. Topological space. Topology. Universal bundle. Universal coefficient theorem. Vector bundle. Weak equivalence (homotopy theory). Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 9783110494914 ZDB-23-PMB Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 9783110442496 print 9780691082066 https://doi.org/10.1515/9781400821259 https://www.degruyter.com/isbn/9781400821259 Cover https://www.degruyter.com/document/cover/isbn/9781400821259/original |
| language |
English |
| format |
eBook |
| author |
Adams, John Frank, Adams, John Frank, |
| spellingShingle |
Adams, John Frank, Adams, John Frank, Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / Annals of Mathematics Studies ; Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BACKGROUND AND PRELIMINARIES -- CHAPTER 2. MACHINERY -- CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION" -- CHAPTER 4. TRANSFER -- CHAPTER 5. THE ADAMS CONJECTURE -- CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE -- CHAPTER 7. THE STATE OF THE ART -- REFERENCES -- INDEX -- Backmatter |
| author_facet |
Adams, John Frank, Adams, John Frank, |
| author_variant |
j f a jf jfa j f a jf jfa |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Adams, John Frank, |
| title |
Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / |
| title_sub |
Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / |
| title_full |
Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / John Frank Adams. |
| title_fullStr |
Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / John Frank Adams. |
| title_full_unstemmed |
Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / John Frank Adams. |
| title_auth |
Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / |
| title_alt |
Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BACKGROUND AND PRELIMINARIES -- CHAPTER 2. MACHINERY -- CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION" -- CHAPTER 4. TRANSFER -- CHAPTER 5. THE ADAMS CONJECTURE -- CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE -- CHAPTER 7. THE STATE OF THE ART -- REFERENCES -- INDEX -- Backmatter |
| title_new |
Infinite Loop Spaces (AM-90), Volume 90 : |
| title_sort |
infinite loop spaces (am-90), volume 90 : hermann weyl lectures, the institute for advanced study. (am-90) / |
| series |
Annals of Mathematics Studies ; |
| series2 |
Annals of Mathematics Studies ; |
| publisher |
Princeton University Press, |
| publishDate |
1978 |
| physical |
1 online resource (230 p.) Issued also in print. |
| contents |
Frontmatter -- PREFACE -- TABLE OF CONTENTS -- CHAPTER 1. BACKGROUND AND PRELIMINARIES -- CHAPTER 2. MACHINERY -- CHAPTER 3. LOCALIZATION AND "GROUP COMPLETION" -- CHAPTER 4. TRANSFER -- CHAPTER 5. THE ADAMS CONJECTURE -- CHAPTER 6. THE SPECIAL CASE OF K-THEORY SPECTRA; THE THEOREMS OF ADAMS-PRIDDY AND MADSEN-SNAITH-TORNEHAVE -- CHAPTER 7. THE STATE OF THE ART -- REFERENCES -- INDEX -- Backmatter |
| isbn |
9781400821259 9783110494914 9783110442496 9780691082066 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA612 |
| callnumber-sort |
QA 3612.76 A3 41978EB |
| url |
https://doi.org/10.1515/9781400821259 https://www.degruyter.com/isbn/9781400821259 https://www.degruyter.com/document/cover/isbn/9781400821259/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
514 - Topology |
| dewey-full |
514/.24 |
| dewey-sort |
3514 224 |
| dewey-raw |
514/.24 |
| dewey-search |
514/.24 |
| doi_str_mv |
10.1515/9781400821259 |
| oclc_num |
954129780 |
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AT adamsjohnfrank infiniteloopspacesam90volume90hermannweyllecturestheinstituteforadvancedstudyam90 |
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n |
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(DE-B1597)467929 (OCoLC)954129780 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Archive 1927-1999 |
| is_hierarchy_title |
Infinite Loop Spaces (AM-90), Volume 90 : Hermann Weyl Lectures, The Institute for Advanced Study. (AM-90) / |
| container_title |
Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020 |
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