Degree theory for equivariant maps, the general S1-action / Jorge Ize, Ivar Massabo, Alfonso Vignoli.
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 [i...
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| Format: | eBook |
| Language: | English |
| Published: |
Providence, R.I. :
American Mathematical Society,
1992.
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| Series: | Memoirs of the American Mathematical Society ;
no. 481. |
| Subjects: |
MARC
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| 100 | 1 | |a Ize, Jorge, |d 1946- | |
| 245 | 1 | 0 | |a Degree theory for equivariant maps, the general S1-action / |c Jorge Ize, Ivar Massabo, Alfonso Vignoli. |
| 260 | |a Providence, R.I. : |b American Mathematical Society, |c 1992. | ||
| 300 | |a 1 online resource (ix, 179 pages) | ||
| 336 | |a text |b txt |2 rdacontent. | ||
| 337 | |a computer |b c |2 rdamedia. | ||
| 338 | |a online resource |b cr |2 rdacarrier. | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 1947-6221 ; |v v. 481. | |
| 500 | |a "November 1992, volume 100, number 481 (end of volume)." | ||
| 504 | |a Includes bibliographical references (pages 177-179) | ||
| 505 | 0 | 0 | |t 1. Preliminaries |t 2. Extensions of $Ŝ1$-maps |t 3. Homotopy groups of $Ŝ1$-maps |t 4. Degree of $Ŝ1$-maps |t 5. $Ŝ1$-index of an isolated non-stationary orbit and applications |t 6. Index of an isolated orbit of stationary solutions and applications |t 7. Virtual periods and orbit index |t Appendix. Additivity up to one suspension. |
| 520 | |a 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. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Topological degree. | |
| 650 | 0 | |a Mappings (Mathematics) | |
| 650 | 0 | |a Homotopy groups. | |
| 650 | 0 | |a Sphere. | |
| 650 | 7 | |a Homotopy groups. |2 fast |0 (OCoLC)fst00959850. | |
| 650 | 7 | |a Mappings (Mathematics) |2 fast |0 (OCoLC)fst01008724. | |
| 650 | 7 | |a Sphere. |2 fast |0 (OCoLC)fst01129664. | |
| 650 | 7 | |a Topological degree. |2 fast |0 (OCoLC)fst01152679. | |
| 700 | 1 | |a Massabo, Ivar, |d 1947- | |
| 700 | 1 | |a Vignoli, Alfonso, |d 1940- | |
| 776 | 0 | 8 | |i Print version: |a Ize, Jorge, 1946- |t Degree theory for equivariant maps, the general S1-action / |x 0065-9266 |z 9780821825426. |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 481. | |
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