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arxiv: 1504.04598 · v2 · pith:NJD7M4SXnew · submitted 2015-04-17 · 🧮 math.GN

Ultrametric fixed points in reduced axiomatic systems

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keywords axiomaticcompletefixedmathreducedsystemultrametricadvances
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The Brezis-Browder ordering principle [Advances Math., 21 (1976), 355-364] is used to get a proof, in the reduced axiomatic system (ZF-AC+DC), of a fixed point result [in the complete axiomatic system (ZF)] over Cantor complete ultrametric spaces due to Petalas and Vidalis [Proc. Amer. Math. Soc., 118 (1993), 819-821].

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