<a href="https://www.youtube.com/watch?v=wd9q1sfXC-E">Video</a> of lecture.<br>
<a href="https://www.youtube.com/watch?v=2e8QJBkCwvo">Waiting room video</a>: a 1972 video on space-filling curves.<br>

<br>
Gave the construction of a function <br><br>
<center>f:[0,1]-->Equilateral triangular region of the plane of side 1</center><br>
as a fimit of functions f<sub>1</sub>, f<sub>2</sub>, ... . Next lecture we'll see that f is continuous and surjective.

<br>
In preparation for next lecture the definition of a Cauchy sequence was introduced, and the following thoerem was stated: Every Cauchy sequence in Euclidean space has a limit.

<br><br>
In my graph of f<sub>3</sub> I messed up the inner triangular region. I've now corrected this on the uploaded handwritten slides.