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130627s1992 riu ob 000 0 eng d |
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|a QA3
|b .A57 no. 481
|a QA612
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|a Ize, Jorge,
|d 1946-
|1 https://id.oclc.org/worldcat/entity/E39PCjHFdvrdRVfMkbVCXBWX7d
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|a Degree theory for equivariant maps, the general S1-action /
|c Jorge Ize, Ivar Massabo, Alfonso Vignoli.
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|a Providence, R.I. :
|b American Mathematical Society,
|c 1992.
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|a 1 online resource (ix, 179 pages)
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|a text
|b txt
|2 rdacontent
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|a Memoirs of the American Mathematical Society,
|x 1947-6221 ;
|v v. 481
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|a "November 1992, volume 100, number 481 (end of volume)."
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|a Includes bibliographical references (pages 177-179).
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|a Print version record.
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|t 1. Preliminaries
|t 2. Extensions of $S^1$-maps
|t 3. Homotopy groups of $S^1$-maps
|t 4. Degree of $S^1$-maps
|t 5. $S^1$-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.
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|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.
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|a ProQuest Ebook Central
|b Ebook Central Academic Complete
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|a Topological degree.
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|a Mappings (Mathematics)
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|a Homotopy groups.
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|a Sphere.
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|a Degré topologique.
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|a Applications (Mathématiques)
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|a Groupes d'homotopie.
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|a Sphère.
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|a spheres (geometric figures)
|2 aat
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|a MATHEMATICS
|x Essays.
|2 bisacsh
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|a MATHEMATICS
|x Pre-Calculus.
|2 bisacsh
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|a MATHEMATICS
|x Reference.
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|a Homotopy groups
|2 fast
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|a Mappings (Mathematics)
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|a Sphere
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|a Kugel
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|a Homotopia.
|2 larpcal
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|a Massabo, Ivar,
|d 1947-
|1 https://id.oclc.org/worldcat/entity/E39PCjKkX6rxkj8Gx6ygcPHJMq
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700 |
1 |
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|a Vignoli, Alfonso,
|d 1940-
|1 https://id.oclc.org/worldcat/entity/E39PCjFDYjVhg8wYCtKfhXgRJC
|
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
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830 |
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0 |
|a Memoirs of the American Mathematical Society ;
|v no. 481.
|x 0065-9266
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856 |
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