This Is AuburnElectronic Theses and Dissertations

Factorwise Rigidity Involving Hereditarily Indecomposable Spaces

Date

2008-12-15

Author

Gammon, Kevin

Type of Degree

Dissertation

Department

Mathematics and Statistics

Abstract

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.