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Hereditarily irreducible mappings of Cartesian product of continua (CROSBI ID 176765)
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Lončar, Ivan
Hereditarily irreducible mappings of Cartesian product of continua // Sarajevo journal of mathematics, 7 (2011), 115-121
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Lončar, Ivan
engleski
Hereditarily irreducible mappings of Cartesian product of continua
In Section 2 we shall prove that if Cartesian product X of nondegenerate continua admits a hereditarily irreducible mapping f : X onto Z ; then w(X Y ) = w(Z). The main section of the paper, Section 3, contains theorems concern- ing the Whitney maps on continua. In particular, it is proved that the product X of nondegenerate continua admits a Whitney map for C(X) if and only if it is metrizable.
hereditarily irreducible mapping; product
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