Temat: tree-like continuum - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: The geometry of laminations
Autorzy:: Fokkink, Robbert
Oversteegen, Lex
Powiązania:: https://bibliotekanauki.pl/articles/1205460.pdf
Data publikacji:: 1996
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: attractor
lamination
hyperbolic geometry
tree-like continuum
Opis:: A lamination is a continuum which locally is the product of a Cantor set and an arc. We investigate the topological structure and embedding properties of laminations. We prove that a nondegenerate lamination cannot be tree-like and that a planar lamination has at least four complementary domains. Furthermore, a lamination in the plane can be obtained by a lakes of Wada construction.
Źródło:: Fundamenta Mathematicae; 1996, 151, 3; 195-207
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The fixed-point property for deformations of tree-like continua
Autorzy:: Hagopian, Charles
Powiązania:: https://bibliotekanauki.pl/articles/1205393.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: fixed point
arc-component
deformation
tree-like continuum
Borsuk ray
dog-chases-rabbit argument
Opis:: Let f be a map of a tree-like continuum M that sends each arc-component of M into itself. We prove that f has a fixed point. Hence every tree-like continuum has the fixed-point property for deformations (maps that are homotopic to the identity). This result answers a question of Bellamy. Our proof resembles an old argument of Brouwer involving uncountably many tangent curves. The curves used by Brouwer were originally defined by Peano. In place of these curves, we use rays that were originally defined by Borsuk.
Źródło:: Fundamenta Mathematicae; 1998, 155, 2; 161-176
0016-2736
Pojawia się w:: Fundamenta Mathematicae
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja