Minimal actions on Cantor cubes

• Autorzy: Turek S.
• Języki publikacji: EN

Abstrakty

EN

There are investigated minimal actions of countable groups on the Cantor cube of weight continuum. In particular there is shown that for every countable abelian group G there exists a homomorphism pi of G into the group Homeo(D^2omega) of all homeomorphisms of the Cantor cube D^2omega onto itself such that for every x is a member of a set D^2omega the orbit {pi{g)(x):g is a member of a set G} is dense in the cube.

Słowa kluczowe

EN

Cantor cube; orbits; Bohr compactification

PL

kostka Cantora; orbita; kompaktyfikacja Bohra

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 2003
• Tom: Vol. 51, no 2
• Strony: 129--138
• Opis fizyczny: Bibliogr. 11 poz., rys.

Twórcy

autor

Turek S.

• Institute of Mathematics, Silesian University, Bankowa 14, 40-007 Katowice, Poland,

Bibliografia

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