03281nam 2200553 450 991081176060332120230328220241.00-8218-9964-3(CKB)3360000000463981(EBL)3113626(SSID)ssj0000973600(PQKBManifestationID)11552383(PQKBTitleCode)TC0000973600(PQKBWorkID)10984442(PQKB)11337213(MiAaPQ)EBC3113626(RPAM)0000000654(PPN)195409051(EXLCZ)99336000000046398120750505h19571957 uy 0engur|n|---|||||txtrdacontentcrdamediacrrdacarrierA global formulation of the Lie theory of transportation groups /Richard S. PalaisProvidence, R.I. :American Mathematical Society,[1957]©19571 online resource (130 pages)Memoirs of the American Mathematical Society ;number 22Cover title.0-8218-1222-X Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;22.Lie groupsTransformations (Mathematics)Lie groups.Transformations (Mathematics)Palais Richard S.49709MiAaPQMiAaPQMiAaPQBOOK9910811760603321A global formulation of the Lie theory of transportation groups3998765UNINA