3 Counterexample to Theorem 2.2 (part (1)) for card (E)> d See [39]
We observe immediately the restriction (recall for the existence of the extension in Theorem 2.2 (part (1)). Is this simply a “technical issue”? The answer to this “optimistic” guess is no.
The sufficient condition for the existence of the extension turns out to be deeper than merely “sufficient” as a tool. In fact, under the geometry of given by Theorem 2.2, the extension does not always exist for > . In this chapter we will provide the required counterexample. In fact, the > case under the geometry of the finite ...
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