Hereditarily Irreducible Mappings of Cartesian Product of Continua
DOI:
https://doi.org/10.5644/SJM.07.1.11Keywords:
Cartesian product, hereditarily irreducible mappingAbstract
In Section 2 we shall prove that if Cartesian product $X\times Y$ of nondegenerate continua admits a hereditarily irreducible mapping $f:X\times Y\rightarrow Z,$ then w$(X\times Y)$=w$(Z)$.
The main section of the paper, Section 3, contains theorems concerning the Whitney maps on continua. In particular, it is proved that the product $\Pi \{X_{s}:s\in S\}$ of nondegenerate continua admits a Whitney map for $C(\Pi \{X_{s}:s\in S\})$ if and only if it is metrizable.
2000 Mathematics Subject Classification. Primary 54B20, 54F15
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