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On representations of selfmappings by contractions
Published online by Cambridge University Press: 17 April 2009
Abstract
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It is shown that any selfmapping (X, f) can be equivariantly and naturally embedded in the selfmapping of the form (X1, f1) ∪ (x2, f2) × (Y, g) where f1 and f2 are contractive relative to suitably chosen metrics and g is a bijection with all points periodic.
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- Copyright © Australian Mathematical Society 1974
References
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[3]Janos, Ludvik, “An application of combinatorial techniques to a topological problem”, Bull. Austral. Math. Soc. 9 (1973), 439–443.Google Scholar
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