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1
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The fixed point property for some cartesian products

100%
Mańka R.
Fundamenta Mathematicae
|
2001
|
tom 169
|
nr 3
193-203
EN
It is proved that the cylinder X × I over a planar λ-dendroid X has the fixed point property. This is a partial solution of two problems posed by R. H. Bing (cf. [1], Questions 9 and 10).
2
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On spirals and fixed point property

100%
Mańka R.
Fundamenta Mathematicae
|
1994
|
tom 144
|
nr 1
1-9
EN
We study the famous examples of G. S. Young [7] and R. H. Bing [2]. We generalize and simplify a little their constructions. First we introduce Young spirals which play a basic role in all considerations. We give a construction of a Young spiral which does not have the fixed point property (see Section 5) . Then, using Young spirals, we define two classes of uniquely arcwise connected curves, called Young spaces and Bing spaces. These classes are analogous to the examples mentioned above. The definitions identify the basic distinction between these classes. The main results are Theorems 4.1 and 6.1.
3
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The topological fixed point property - an elementary continuum-theoretic approach

100%
Mańka R.
Banach Center Publications
|
2007
|
tom 77
|
nr 1
183-200
EN
A set contained in a topological space has the topological fixed point property if every continuous mapping of the set into itself leaves some point fixed. In 1969, R. H. Bing published his article The Elusive Fixed Point Property, posing twelve intriguing and difficult problems, which exerted a great influence on the study of the fixed point property. We now present a survey article intended for a broad audience that reports on this area of fixed point theory. The exposition is also intended to give an introduction to the current study of the fixed point property from the viewpoint of an elementary continuum theory.
4
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Cylinders over λ-dendroids have the fixed point property

100%
Mańka R.
Fundamenta Mathematicae
|
2002
|
tom 173
|
nr 2
101-112
EN
It is proved that the cylinder X × I over a λ-dendroid X has the fixed point property. The proof uses results of [9] and [10].
5
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On the additivity of the fixed point property for 1-dimensional continua

44%
Mańka R.
Fundamenta Mathematicae
|
1990
|
tom 136
|
nr 1
27-36
6
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On fixed point theorems for multifunctions in dendroids

38%
Mańka R.
Colloquium Mathematicum
|
1987
|
tom 52
|
nr 2
185-192
7
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
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Connection between set theory and the fixed point property

38%
Mańka R.
Colloquium Mathematicum
|
1987
|
tom 53
|
nr 2
177-184
8
Content available remote

On irreducibility and indecomposability of continua

38%
Mańka R.
Fundamenta Mathematicae
|
1988
|
tom 129
|
nr 2
121-131
9
Content available remote

Fixed point theorems for λ-dendroids

32%
Mańka R.
Fundamenta Mathematicae
|
1980
|
tom 108
|
nr 2
119-128
10
Artykuł dostępny w postaci pełnego tekstu - kliknij by otworzyć plik
Content available

On uniquely arcwise connected curves

32%
Mańka R.
Colloquium Mathematicum
|
1987
|
tom 51
|
nr 1
227-238
11
Content available remote

Association and fixed points

26%
Mańka R.
Fundamenta Mathematicae
|
1976
|
tom 91
|
nr 2
105-121
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