Vol. 37, No. 3, 1971

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How to recognize homeomorphisms and isometries

Carlos R. Borges

Vol. 37 (1971), No. 3, 625–633
Abstract

We study necessary and sufficient conditions for a given function f;X X to be one-to-one, or a homeomorphism or a topological isometryl, by analyzing the family {f1,f2,} of its composition iterates.

Mathematical Subject Classification 2000
Primary: 54C05
Milestones
Received: 4 May 1970
Published: 1 June 1971
Authors
Carlos R. Borges