Degree Theory for Equivariant Maps, the General S1-Action. (Record no. 69541)
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| fixed length control field | 03733nam a22005053i 4500 |
| 001 - CONTROL NUMBER | |
| control field | EBC3114010 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | MiAaPQ |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20240729124557.0 |
| 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 | 240724s1992 xx o ||||0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9781470400583 |
| Qualifying information | (electronic bk.) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9780821825426 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (MiAaPQ)EBC3114010 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (Au-PeEL)EBL3114010 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (CaPaEBR)ebr10918963 |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)922981474 |
| 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 | QA3 -- .I94 1992eb |
| 082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 514/.2 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Ize, Jorge. |
| 245 10 - TITLE STATEMENT | |
| Title | Degree Theory for Equivariant Maps, the General S1-Action. |
| 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 | 1992. |
| 264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Date of production, publication, distribution, manufacture, or copyright notice | ©1992. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (194 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.100 |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Intro -- TABLE OF CONTENTS -- INTRODUCTION -- CHAPTER ONE: PRELIMINARIES -- 1.1. S[sup(1)]-actions -- 1.2. Almost semi-free action -- 1.3. Equivariant homotopy -- 1.4. The extension degree -- 1.5. Equivariant homotopy groups of spheres -- 1.6. Equivariant degree in the almost semi-free case -- CHAPTER TWO: EXTENSIONS OF 5[sup(1)]-MAPS -- 2.1. The fundamental cell lemma -- 2.2. The Extension Theorem -- 2.3. The Extension degree -- 2.4. Properties of the Extension degree -- CHAPTER THREE: HOMOTOPY GROUPS OF S[sup(1)]-MAPS -- 3.1. Trivial invariant part, the case p ≥ 1 -- 3.2. Nontrivial invariant part, the case p = 0 -- 3.3. Behavior under suspension -- 3.4. Relationship with the set of K-degrees -- 3.5. Symmetry Breaking -- CHAPTER FOUR: DEGREE OF S[sup(1)]-MAPS -- 4.1. Range of deg[sub(S1)](f -- Ω) -- 4.2. Infinite dimensional degree -- 4.3. Computation of the S[sup(1)]-degree -- 4.4. Global Continuation -- 4.5. Global Bifurcation -- CHAPTER FIVE: S[sup(1)]-INDEX OF AN ISOLATED NON-STATIONARY ORBIT AND APPLICATIONS -- 5.1. The case p ≥ 1 -- 5.2. The case p = 0 -- 5.3. p = 0, hyperbolic orbits -- 5.4. Autonomous differential equations -- 5.5. Gradient maps -- 5.6. Differential equations with fixed period -- 5.7. Differential equations with first integrals -- 5.8 Symmetry breaking for differential equations -- CHAPTER SIX: INDEX OF AN ISOLATED ORBIT OF STATIONARY SOLUTIONS AND APPLICATIONS -- 6.1. Computation of the S[sup(1)-Index -- 6.2. Application to bifurcation -- 6.3. Hopf bifurcation for autonomous differential equations -- 6.4. Hopf bifurcation for systems with first integrals -- 6.5. Hopf bifurcation and symmetry breaking -- CHAPTER SEVEN: VIRTUAL PERIODS AND ORBIT INDEX -- 7.1. Virtual periods -- 7.2. The Orbit Index -- APPENDIX: ADDITIVITY UP TO ONE SUSPENSION -- REFERENCES. |
| 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 | Topological degree. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mappings (Mathematics). |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Homotopy groups. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Sphere. |
| 655 #4 - INDEX TERM--GENRE/FORM | |
| Genre/form data or focus term | Electronic books. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Massabo, Ivar. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Vignoli, Alfonso. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Main entry heading | Ize, Jorge |
| Title | Degree Theory for Equivariant Maps, the General S1-Action |
| Place, publisher, and date of publication | Providence : American Mathematical Society,c1992 |
| International Standard Book Number | 9780821825426 |
| 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=3114010">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3114010</a> |
| Public note | Click to View |
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