| Description |
1 online resource (ix, 179 pages) |
| Series |
Memoirs of the American Mathematical Society, 1947-6221 ; v. 481 |
|
Memoirs of the American Mathematical Society ; no. 481. 0065-9266
|
| Contents |
1. Preliminaries 2. Extensions of $Ŝ1$-maps 3. Homotopy groups of $Ŝ1$-maps 4. Degree of $Ŝ1$-maps 5. $Ŝ1$-index of an isolated non-stationary orbit and applications 6. Index of an isolated orbit of stationary solutions and applications 7. Virtual periods and orbit index Appendix. Additivity up to one suspension |
| Summary |
In this paper, we consider general [italic]S¹-actions, which may differ on the domain and on the range, with isotropy subspaces with one dimension more on the domain. In the special case of self-maps the [italic]S¹-degree is given by the usual degree of the invariant part, while for one parameter [italic]S¹-maps one has an integer for each isotropy subgroup different from [italic]S¹. In particular we recover all the [italic]S¹-degrees introduced in special cases by other authors and we are also able to interpret period doubling results on the basis of our [italic]S¹-degree. The applications concern essentially periodic solutions of ordinary differential equations |
| Notes |
"November 1992, volume 100, number 481 (end of volume)." |
| Bibliography |
Includes bibliographical references (pages 177-179) |
| Notes |
Print version record |
| Subject |
Topological degree.
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Mappings (Mathematics)
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Homotopy groups.
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Sphere.
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spheres (geometric figures)
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MATHEMATICS -- Essays.
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MATHEMATICS -- Pre-Calculus.
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MATHEMATICS -- Reference.
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Homotopy groups
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Mappings (Mathematics)
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Topological degree
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Sphere
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Äquivariante Abbildung
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Abbildungsgrad
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Homotopiegruppe
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Kugel
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Homotopia.
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| Form |
Electronic book
|
| Author |
Massabo, Ivar, 1947-
|
|
Vignoli, Alfonso, 1940-
|
| ISBN |
9781470400583 |
|
1470400588 |
|
