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On The Generalized Cauchy Equation
Published online by Cambridge University Press: 20 November 2018
Extract
It is the purpose of this note to prove the following theorem: Let ƒ: G → R be a non-constant continuous function with G a locally compact connected topological group and with R the real numbers. Let C = ƒ(G) and suppose that F: C × C → C is a junction such that
Then ƒ is monotone and open and F is continuous.
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- Copyright © Canadian Mathematical Society 1967
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