Inducible mappings between hyperspaces

• Autorzy: Charatonik Janusz J. , Charatonik W.
• Języki publikacji: EN

Abstrakty

EN

Given a continuum X we denote by [2^x] and C(X) the hyperspace of all nonempty compact subsets and of all nonempty subcontinua of X. For any two continua X and Y and a mapping [f : X --> Y let 2^f] and C(f) stand for the induced mappings between corresponding hyperspaces. A mapping g between the hypespaces is inducible is there exists a mapping f such that [g = 2^f] or g = C(f), respectively. Necessary and sufficient conditions are shown under which a given mapping g is inducible.

Słowa kluczowe

EN

continuum; hyperspace; induced; mapping

PL

odwzorowanie; topologia ogólna

• Wydawca: Instytut Matematyczny PAN
• Czasopismo: Bulletin of the Polish Academy of Sciences. Mathematics
• Rocznik: 1998
• Tom: Vol. 46, no 1
• Strony: 5--9
• Opis fizyczny: Bibliogr. 2 poz.,

Twórcy

autor

Charatonik Janusz J.

autor

Charatonik W.

• Mathematical Institute, University of Wrocław, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland and Instituto de Mathematicas, Unam, Circuito Exterior, Cudad Universitaria, 04510 Mexico, D. F., Mexico