The 2-sphere is Wecken for n-valued maps
We prove the theorem of the title. Every n -valued map ϕ : S 2 ⊸ S 2 of the 2-sphere has the Wecken property for n -valued maps, that is, it is n -valued homotopic to a map with N ( ϕ ) fixed points, where N ( ϕ ) is the Nielsen number of ϕ .
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| Veröffentlicht in: | Journal of fixed point theory and applications 2019-06, Vol.21 (2), p.1-6, Article 55 |
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| container_issue | 2 |
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| container_title | Journal of fixed point theory and applications |
| container_volume | 21 |
| creator | Brown, Robert F. Crabb, Michael Ericksen, Adam Stimpson, Matthew |
| description | We prove the theorem of the title. Every
n
-valued map
ϕ
:
S
2
⊸
S
2
of the 2-sphere has the Wecken property for
n
-valued maps, that is, it is
n
-valued homotopic to a map with
N
(
ϕ
)
fixed points, where
N
(
ϕ
)
is the Nielsen number of
ϕ
. |
| doi_str_mv | 10.1007/s11784-019-0691-1 |
| format | Article |
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n
-valued map
ϕ
:
S
2
⊸
S
2
of the 2-sphere has the Wecken property for
n
-valued maps, that is, it is
n
-valued homotopic to a map with
N
(
ϕ
)
fixed points, where
N
(
ϕ
)
is the Nielsen number of
ϕ
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n
-valued map
ϕ
:
S
2
⊸
S
2
of the 2-sphere has the Wecken property for
n
-valued maps, that is, it is
n
-valued homotopic to a map with
N
(
ϕ
)
fixed points, where
N
(
ϕ
)
is the Nielsen number of
ϕ
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n
-valued map
ϕ
:
S
2
⊸
S
2
of the 2-sphere has the Wecken property for
n
-valued maps, that is, it is
n
-valued homotopic to a map with
N
(
ϕ
)
fixed points, where
N
(
ϕ
)
is the Nielsen number of
ϕ
.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s11784-019-0691-1</doi><tpages>6</tpages><orcidid>https://orcid.org/0000-0003-0596-2869</orcidid><oa>free_for_read</oa></addata></record> |
| fulltext | fulltext |
| identifier | ISSN: 1661-7738 |
| ispartof | Journal of fixed point theory and applications, 2019-06, Vol.21 (2), p.1-6, Article 55 |
| issn | 1661-7738 1661-7746 |
| language | eng |
| recordid | cdi_proquest_journals_2214143309 |
| source | Springer Nature - Complete Springer Journals |
| subjects | Analysis Mathematical Methods in Physics Mathematics Mathematics and Statistics |
| title | The 2-sphere is Wecken for n-valued maps |
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