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Martin Sleziak
Martin Sleziak
04:30
5
Q: Is there a non-standard proof (via hyperfinite approximation) that every vector space has a basis?

NumeralIn chapter 19 of Goldblatt's Lectures on the Hyperreals he discusses Hyperfinite Approximation. This phenomenon suggests a new methodology for analysing infinite structures by "lifting" a corresponding analysis that is known for finite ones. In section 19.8 he discusses Hyperfinite Dimensional ...

linear-algebra vector-spaces nonstandard-analysis hamel-basis
deleted-tag The tags internal-set-theory and hyperfinite-sets are gone.

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