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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