Rational Homotopical Models and Uniqueness. (Record no. 70063)
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| 000 -LEADER | |
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| fixed length control field | 04935nam a22004693i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114568 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124612.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS | |
| fixed length control field | m o d | |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr cnu|||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 240724s1999 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470402730 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821819203 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114568 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114568 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr11041346 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922965062 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | MiAaPQ |
| Language of cataloging | eng |
| Description conventions | rda |
| -- | pn |
| Transcribing agency | MiAaPQ |
| Modifying agency | MiAaPQ |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA612.7 -- .M35 2000eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 510 s;514/.24 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Majewski, Martin. |
| 245 10 - TITLE STATEMENT | |
| Title | Rational Homotopical Models and Uniqueness. |
| 250 ## - EDITION STATEMENT | |
| Edition statement | 1st ed. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Providence : |
| Name of producer, publisher, distributor, manufacturer | American Mathematical Society, |
| Date of production, publication, distribution, manufacture, or copyright notice | 1999. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©2000. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (175 pages) |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Carrier type code | cr |
| Source | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| Series statement | Memoirs of the American Mathematical Society ; |
| Volume/sequential designation | v.143 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- TABLE OF CONTENTS -- ABSTRACT -- KEYWORDS -- PREFACE -- INTRODUCTION -- 1. HOMOTOPY THEORY -- 1. HOMOTOPICAL CATEGORIES -- 1. The axioms -- 2. Left homotopical categories -- 3. Homotopical subcategories -- 2. FUNDAMENTAL RESULTS -- 1. Lifting and extension -- 2. The derived category -- 3. Homotopical functors and their derived functors -- 4. The Adjoint Functor Theorem -- 3. COMONOIDS UP TO HOMOTOPY -- 1. … as comonoids over the derived category -- 2. Derived tensor product -- 3. Generalizations -- A. EXAMPLES OF HOMOTOPICAL CATEGORIES -- 1. Cofibration categories -- 2. Model categories -- 3. Spaces -- 4. Simplicial objects -- 2. DIFFERENTIAL ALGEBRA -- 1. PRELIMINARIES -- 1. Chain complexes -- 2. DG (co)algebras -- 3. Tensor (co) algebras -- 2. TWISTING MAPS AND THE (CO) BAR CONSTRUCTION -- 1. Twisting maps and homotopies -- 2. The (co)bar construction -- 3. Compatibility with tensor product -- 4. Homological properties -- 3. ACYCLIC MODELS -- 1. Representable functors -- 2. The method of acyclic models -- 3. Duality -- 4. Acyclic model theorems for twisting maps -- 4. EZ-MORPHISMS -- 1. Extension of an EZ-morphism -- 2. A generalization -- 3. Properties of the extension -- B. CHAIN (CO) FUNCTORS -- 1. Monoidal categories -- 2. Normalization -- 3. Representable cofunctors for spaces -- 4. Cohomology theories -- 3. COMPLETE ALGEBRA -- 1. COMPLETE AUGMENTED ALGEBRAS -- 1. Ring systems -- 2. Complete modules -- 3. Complete augmented algebras and free groups -- 4. Rigidity -- 2. COMPLETE LIE ALGEBRAS AND COMPLETE HOPF ALGEBRAS -- 1. Complete Hopf algebras and the exponential mapping -- 2. The PBW-Theorem -- 3. Normal complete Hopf algebras -- 4. Rigidity -- 3. COMPLETE GROUPS -- 1. Nilpotent groups -- 2. Complete groups -- 3. The Lazard - Mal'cev correspondence -- 4. The Quillen functor -- C. FILTERED MODULES. |
| 505 8# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | 1. Filtered vs. cofiltered modules -- 2. Normal maps and exactness -- 3. Filtered tensor product -- 4. Complete Differential Algebra -- 4. THREE MODELS FOR SPACES -- 1. THE CELLULAR MODEL -- 1. The homotopical category of dg algebras -- 2. The homotopical category of dg Hopf algebras up to homotopy -- 3. The cobar - chain functor and the chain - loop functor -- 4. Compatibility with (tensor) products -- 5. The homotopy diagonals -- 2. THE SULLIVAN MODEL -- 1. The homotopical category of commutative dg* algebras -- 2. The Sullivan cofunctor and Stokes' map -- 3. Extension of Stokes' map -- 4. Compatibility with (tensor) products -- 5. Dualization -- 6. The homotopy diagonals -- 3. THE QUILLEN MODEL -- 1. The homotopical category of dg Lie algebras -- 2. The Quillen functor -- 3. Connection to the chain - loop functor -- 4. The group algebra of a free simplicial group -- 5. A proof of the Quillen equivalence -- 4. MAIN RESULTS -- 1. Summary -- 2. Anick's equivalence -- 3. Proof of the Baues - Lemaire conjecture -- 4. Rational equivalence -- D. THE CELLULAR LIE ALGEBRA MODEL -- 1. A natural diagonal for the cobar - chain functor -- 2. A natural Hopf diagonal -- 3. The category of dg Lie algebras (over any ring) -- 4. Anick's theorems and naturality -- NOTATIONS -- BIBLIOGRAPHY. |
| 588 ## - SOURCE OF DESCRIPTION NOTE | |
| Source of description note | Description based on publisher supplied metadata and other sources. |
| 590 ## - LOCAL NOTE (RLIN) | |
| Local note | Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homotopy theory. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Hopf algebras. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Majewski, Martin |
| Title | Rational Homotopical Models and Uniqueness |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1999 |
| International Standard Book Number | 9780821819203 |
| 797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN) | |
| Corporate name or jurisdiction name as entry element | ProQuest (Firm) |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Memoirs of the American Mathematical Society |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114568">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114568</a> |
| Public note | Click to View |
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