The Cartesian product of two spaces is called factorwise rigid if any self homeomorphism is a product homeomorphism. In 1983, D. Bellamy and J. Łoysko proved that the Cartesian product of two pseudo-arcs is factorwise rigid. This argument relies on the chainability of the pseudo-arc and therefore does not easily generalize to the products involving pseudo-circles. In this paper the author proves that the Cartesian product of the pseudo-arc and pseudo-circle is factorwise rigid.
|School Location:||United States -- Alabama|
|Source:||DAI-B 70/02, Dissertation Abstracts International|
|Keywords:||Cartesian products, Indecomposable spaces, Pseudocircles|
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