Pełnotekstowe zasoby PLDML oraz innych baz dziedzinowych są już dostępne w nowej Bibliotece Nauki.
Zapraszamy na https://bibliotekanauki.pl
Preferencje help
Polish version English version Język
Widoczny [Schowaj] Abstrakt
Liczba wyników

Znaleziono wyników: 5

Liczba wyników na stronie
first rewind previous Strona / 1 next fast forward last

Wyniki wyszukiwania

help Sortuj według:

help Ogranicz wyniki do:
first rewind previous Strona / 1 next fast forward last
1
Content available remote

Fixed Points of Maps of Sets of Polyhedra into the Disc

100%
Miklaszewski D.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2013
|
tom 61
|
nr 3
263-275
EN
We prove that Platonic and some Archimedean polyhedra have the fixed point property in a non-classical sense.
2
Content available remote

The Brouwer Fixed Point Theorem for Some Set Mappings

100%
Miklaszewski D.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2013
|
tom 61
|
nr 2
133-140
EN
For some classes $X ⊂ 2^{𝔹ₙ}$ of closed subsets of the disc 𝔹ₙ ⊂ ℝⁿ we prove that every Hausdorff-continuous mapping f: X → X has a fixed point A ∈ X in the sense that the intersection A ∩ f(A) is nonempty.
3
Content available remote

An Application of the Stiefel-Whitney Classes to the Proof of a Fixed Point Theorem for Set-Valued Mappings

100%
Miklaszewski D.
Bulletin of the Polish Academy of Sciences. Mathematics
|
2005
|
tom 53
|
nr 2
181-186
EN
We prove a fixed point theorem for Borsuk continuous mappings with spherical values, which extends a previous result. We apply some nonstandard properties of the Stiefel-Whitney classes.
4
Content available remote

A fixed point conjecture for Borsuk continuous set-valued mappings

100%
Miklaszewski D.
Fundamenta Mathematicae
|
2002
|
tom 175
|
nr 1
69-78
EN
The main result of this paper is that for n = 3,4,5 and k = n-2, every Borsuk continuous set-valued map of the closed ball in the n-dimensional Euclidean space with values which are one-point sets or sets homeomorphic to the k-sphere has a fixed point. Our approach fails for (k,n) = (1,4). A relevant counterexample (for the homological method, not for the fixed point conjecture) is indicated.
5
Content available remote

A reduction of the Nielsen fixed point theorem for symmetric product maps to the Lefschetz theorem

63%
Miklaszewski D.
Fundamenta Mathematicae
|
1990
|
tom 135
|
nr 3
175-176
first rewind previous Strona / 1 next fast forward last
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.