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Record Nr. |
UNINA9910811760603321 |
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Autore |
Palais Richard S. |
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Titolo |
A global formulation of the Lie theory of transportation groups / / Richard S. Palais |
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Pubbl/distr/stampa |
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Providence, R.I. : , : American Mathematical Society, , [1957] |
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©1957 |
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ISBN |
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Descrizione fisica |
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1 online resource (130 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; number 22 |
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Soggetti |
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Lie groups |
Transformations (Mathematics) |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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""; |
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