A global formulation of the Lie theory of transportation groups / / Richard S. Palais

• Autore: Palais Richard S.
• Pubblicazione: Providence, R.I. : , : American Mathematical Society, , [1957]; ©1957
• Descrizione fisica: 1 online resource (130 pages)
• Soggetto topico: Lie groups; Transformations (Mathematics)
• Note generali: Cover title.
• Nota di bibliografia: Includes bibliographical references and index.
• Nota di contenuto: ""Contents""; ""Preface""; ""Acknowledgments""; ""Chapter I: QUOTIENT MANIFOLDS DEFINED BY FOLIATIONS""; ""1. Differentiable Manifolds""; ""2. Foliations""; ""3. The Continuation Theorem""; ""4. Regularity""; ""5. Quotient Manifolds""; ""6. Factorization of Mappings""; ""7. Projection-like Mappings""; ""8. The Uniqueness Theorem""; ""9. Products of Quotient Manifolds""; ""Chapter II: LOCAL AND INFINITESIMAL TRANSFORMATION GROUPS""; ""1. Notation""; ""2. Elementary Definitions""; ""3. 'Factoring' a Transformation Group""; ""4. The Infinitesimal Graph""; ""5. The Local Existence Theorem"" ; ""6. The Uniqueness Theorem""""7. The Existence Theorem""; ""Chapter III: GLOBALIZABLE INFINITESIMAL TRANSFORMATION GROUPS""; ""1. Globalizations""; ""2. Univalent Infinitesimal Transformation Groups""; ""3. Maximum Local Transformation Groups""; ""4. The Principal Theorem""; ""5. Proper Infinitesimal Transformation Groups""; ""6. Uniform Infinitesimal Transformation Groups""; ""7. R-Transformation Groups""; ""8. The Need for Non-Hausdorff Manifolds""; ""9. Can Theorem XX Be Generalized?""; ""Chapter IV: LIE TRANSFORMATION GROUPS""; ""1. Two Theorems on Lie Groups"" ; ""2. Infinitesimal Groups"" ""3. Connected Lie Transformation Groups""; ""4. Lie Transformation Groups""; ""5. Tensor Structures and Their Automorphism Groups""; ""Appendix to Chapter IV""; ""1. Compact-Open Topology""; ""2. Making a Topology Locally Arcwise Connected""; ""3. The Modified Compact-Open Topology""; ""4. Weakening the Topology of a Lie Group""; ""Terminological Index""; ""References""; ""Fixed Notations""
• Titolo autorizzato: A global formulation of the Lie theory of transportation groups
• ISBN: 0-8218-9964-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910811760603321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; 22.