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Mathematics Homework Solutions
Problem
#75977

Uncountable Basis

It can be shown that R (the set of all real numbers) is an infinite-dimensional vector space over Q (field of rationals).
Is it true that any basis (by basis I mean algebraic basis or Hamel basis) of R over Q has to be uncountable ?


Solution Summary

Uncountability of a basis is investigated.

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Sangameshwar Y, MSc - n/a
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