Dissertation/Thesis Abstract

Factorwise rigidity involving hereditarily indecomposable spaces
by Gammon, Kevin B., Ph.D., Auburn University, 2008, 60; 3348251
Abstract (Summary)

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.

Indexing (document details)
Advisor: Kuperberg, Krystyna
School: Auburn University
School Location: United States -- Alabama
Source: DAI-B 70/02, Dissertation Abstracts International
Subjects: Mathematics
Keywords: Cartesian products, Indecomposable spaces, Pseudocircles
Publication Number: 3348251
ISBN: 978-1-109-04166-8
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