Show that |R × R| = |R|. [Hint: Use the Schröder- Bernstein theorem to show that |(0, 1) × (0, 1)| = (0, 1)|. To construct an injection from (0, 1) × (0, 1) to (0, 1), suppose that (x, y) ∈ (0, 1) × (0, 1). Map (x, y) to the number with decimal expansion formed by alternating between the digits in the decimal expansions of x and y, which do not end with an infinite string of 9s.]

LECTURE 10.3.16 Themes o Modernism and Architecture in Post-WWII America Private homes Case Study Project Farnsworth o Corporate buildings Seagram (Mies van der Rohe) Names/Terms o Frank Lloyd Wright o Charles and Ray Eames o Eero Saarinene...