Expansive homeomorphisms and plane separating continua |
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Authors: | Christopher Mouron |
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Institution: | Department of Mathematics and Computer Science, Rhodes College, Memphis, TN 38112, USA |
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Abstract: | A homeomorphism is expansive provided that there exists a constant c>0 and for every x,y∈X there exists an integer n, dependent only on x and y, such that d(hn(x),hn(y))>c. It is shown that if X is a 1-dimensional continuum that separates the plane into 2 pieces, then h cannot be expansive. |
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Keywords: | primary 54H20 54F50 secondary 54E40 |
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