Topic: The Baire Category Theorem

Transcendental Numbers Form a Residual Set

The Locally Compact Hausdorff Baire Theorem

The Complete-Metric Baire Theorem by Nested Balls

The Closed-Cover Consequence of the Baire Theorem

Residual Sets and Dense G-Delta Sets

Residual Does Not Mean Open or Universal

Relative Meagerness in Subspaces

Rationals, Irrationals, and Category in the Real Line

Piecewise-Linear Perturbations with Steep Secants

Open Subspaces of Baire Spaces