Two comments about the mandatory assignment

In Problem 1a) you can use, without proving it,  that the Lebesgue measure of rE is |r| times the Lebesgue measure of E for any real number r. I forgot that Exercise 8.4.5 in Lindstr?m's book only deals with the case where r is positive.

In Problem 5, the calligraphic B should quite obviously be a calligraphic  A. This has now be corrected in the version available online.

Erik