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101 0 $aeng
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181   $ctxt$2rdacontent
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200 12$aA global formulation of the Lie theory of transportation groups /$fRichard S. Palais
210  1$aProvidence, R.I. :$cAmerican Mathematical Society,$d[1957]
210  4$dİ1957
215   $a1 online resource (130 pages)
225 1 $aMemoirs of the American Mathematical Society ;$vnumber 22
300   $aCover title.
311 0 $a0-8218-1222-X 
320   $aIncludes bibliographical references and index.
327   $a""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""
327   $a""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""
327   $a""2. Infinitesimal Groups"" ""3. Connected Lie Transformation Groups""; ""4. Lie Transformation Groups""; ""5. Tensor Structures and Their Automorphism Groups""; ""Appendix to Chapter IV""; ""1. Compact-Open Topology""; ""2. Making a Topology Locally Arcwise Connected""; ""3. The Modified Compact-Open Topology""; ""4. Weakening the Topology of a Lie Group""; ""Terminological Index""; ""References""; ""Fixed Notations""
410  0$aMemoirs of the American Mathematical Society ;$v22.
606   $aLie groups
606   $aTransformations (Mathematics)
615  0$aLie groups.
615  0$aTransformations (Mathematics)
700   $aPalais$b Richard S.$049709
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910811760603321
996   $aA global formulation of the Lie theory of transportation groups$93998765
997   $aUNINA