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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2020 • Question 5

Question

Math 6210 • Real Analysis Spring 2020 • Question 5

Prove the following special case of the Baire category theorem, without directly using the general theorem: \(\mathbb R^2\) is not a countable union of lines.

Raw LaTeX

Prove the following special case of the Baire category theorem,
without directly using the general theorem: \(\mathbb R^2\) is not a countable
union of lines.

Topic Tags

Baire Category and Uniform Boundedness