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A weak countable choice principle |
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| Authors: | Douglas Bridges Fred Richman Peter Schuster |
| Institution: | Department of Mathematics, University of Waikato, Hamilton, New Zealand ; Department of Mathematics, Florida Atlantic University, Boca Raton, Florida 33431 ; Mathematisches Institut, Universität München, Theresienstraße 39, München 80333, Germany |
| Abstract: | A weak choice principle is introduced that is implied by both countable choice and the law of excluded middle. This principle suffices to prove that metric independence is the same as linear independence in an arbitrary normed space over a locally compact field, and to prove the fundamental theorem of algebra. |
| Keywords: | Axiom of choice |
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