| Description |
1 online resource (viii, 76 pages) : illustrations |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 595 |
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Memoirs of the American Mathematical Society ; no. 595. 0065-9266
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| Contents |
Introduction -- Organization of orthogonal models and orbit structures -- Orbit structures for [italic capital]G-spheres of cohomogeneity two -- The reconstruction problem -- [italic capital]G-spheres of cohomogeneity two with at most two isolated orbits -- [italic capital]G-spheres of cohomogeneity two with three isolated orbits |
| Summary |
The cohomogeneity of a transformation group ([italic capitals]G, X) is, by definition, the dimension of its orbit space, [italic]c = dim [italic capitals]X, G. We are concerned with the classification of differentiable compact connected Lie transformation groups on (homology) spheres, with [italic]c [less than or equal to symbol] 2, and the main results are summarized in five theorems, A, B, C, D, and E in part I. This paper is part II of the project, and addresses theorems D and E.D examines the orthogonal model from theorem A and orbit structures, while theorem E addresses the existence of "exotic" [italic capital]G-spheres |
| Notes |
Continues: Compact connected Lie transformation groups on spheres with low cohomogeneity, I. 1996 |
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"January 1997, volume 125, number 595 (first of 5 numbers)." |
| Bibliography |
Includes bibliographical references (pages 74-75) |
| Notes |
English |
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Print version record |
| Subject |
Topological transformation groups.
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Homology theory.
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Orthogonalization methods.
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MATHEMATICS -- Essays.
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MATHEMATICS -- Pre-Calculus.
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MATHEMATICS -- Reference.
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MATHEMATICS -- Topology.
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Orthogonalization methods
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Homology theory
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Topological transformation groups
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| Form |
Electronic book
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| ISBN |
9781470401801 |
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1470401800 |
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