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1
Content available remote

Nielsen theory of transversal fixed point sets (with an appendix: $C^∞$ and C0 fixed point sets are the same, by R. E. Greene)

100%
Schirmer H.
Fundamenta Mathematicae
|
1992
|
tom 141
|
nr 1
31-59
EN
Examples exist of smooth maps on the boundary of a smooth manifold M which allow continuous extensions over M without fixed points but no such smooth extensions. Such maps are studied here in more detail. They have a minimal fixed point set when all transversally fixed maps in their homotopy class are considered. Therefore we introduce a Nielsen fixed point theory for transversally fixed maps on smooth manifolds without or with boundary, and use it to calculate the minimum number of fixed points in cases where continuous map extensions behave differently from smooth ones. In the appendix it is shown that a subset of a smooth manifold can be realized as the fixed point set of a smooth map in a given homotopy class if and only if it can be realized as the fixed point set of a continuous one. A special case of this result is used in a proof of the paper.
2
Content available remote

Fix-finite and fixed point free approximations of symmetric product maps

44%
Schirmer H.
Fundamenta Mathematicae
|
1987
|
tom 128
|
nr 1
7-13
3
Content available remote

A Nielsen number for fixed points and near points of small multifunctions

44%
Schirmer H.
Fundamenta Mathematicae
|
1975
|
tom 88
|
nr 2
145-156
4
Content available remote

Simplicial approximation of small multifunctions

38%
Schirmer H.
Fundamenta Mathematicae
|
1974
|
tom 84
|
nr 2
121-126
5
Content available remote

Fix-finite approximation of n-valued multifunctions

38%
Schirmer H.
Fundamenta Mathematicae
|
1984
|
tom 121
|
nr 1
73-80
6
Content available remote

Fixed point sets of homeomorphisms on dendrites

38%
Schirmer H.
Fundamenta Mathematicae
|
1972
|
tom 75
|
nr 2
117-122
7
Content available remote

An index and a Nielsen number for n-valued multifunctions

38%
Schirmer H.
Fundamenta Mathematicae
|
1984
|
tom 124
|
nr 3
207-219
8
Content available remote

Homotopy for small multifunctions

32%
Schirmer H.
Fundamenta Mathematicae
|
1973
|
tom 78
|
nr 2
169-176
9
Content available remote

A Kakutani type coincidence theorem

32%
Schirmer H.
Fundamenta Mathematicae
|
1970
|
tom 69
|
nr 3
219-226
10
Content available remote

A minimum theorem for n-valued multifunctions

32%
Schirmer H.
Fundamenta Mathematicae
|
1985-1986
|
tom 126
|
nr 1
83-92
11
Content available remote

The least number of fixed points of bimaps

32%
Schirmer H.
Fundamenta Mathematicae
|
1991
|
tom 137
|
nr 1
1-8
12
Content available remote

A fixed point index for bimaps

26%
Schirmer H.
Fundamenta Mathematicae
|
1990
|
tom 134
|
nr 2
93-104
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