A note on indecomposability of chaotic continua on surfaces

• Autorzy: Kato H.
• Języki publikacji: EN

Abstrakty

EN

In [5, 6] and [8], we proved that if a plane compactum X with dim X > 0 admits a continuum-wise expansive homeomorphism f, then X is not locally connected and it contains a sigma-chaotic continuum Z (sigma = s or u) of f such that Z is indecomposable and for each z [...] Z, the continuum-wise sigma-stable set V[sup sigma] (z, Z) coincides with the composant containing z. In this note, we generalize this theorem to 1-dimensional compacta in arbitrary surfaces.

Słowa kluczowe

EN

chaotic continuum; composant; continuum-wise expansive homeomorphism; expansive homeomorphism; indecomposable; Peano continuum; stable and unstable set; surface

PL

topologia ogólna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 1
• Strony: 11--16
• Opis fizyczny: Bibliogr. 20 poz.,

Twórcy

autor

Kato H.