Factorwise Rigidity Involving Hereditarily Indecomposable Spaces
Type of DegreeDissertation
Mathematics and Statistics
MetadataShow full item record
The Cartesian product of two spaces is called factorwise rigid if any self homeomorphism is a product homeomorphism. In 1983, D. Bellamy and J. Lysko 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.