<a href="https://www.youtube.com/watch?v=4YHu40_WqFI">Video</a> of the lecture.<br>
<a href="https://www.youtube.com/watch?v=Tj1NyJHLvWA">Waiting room video</a>:James Simmons on Mathematics, Common Sense and Good Luck.<br><br>

Explained details of the 25% project for this module. Details are being circulated via Blackboard email.<br><br>

Explained that the function f:[0,1] ---> (equilateral triangular region) is well-defined because for any t in [0,1] the value f(t) is the limit of a Cauchy sequence (and hence exists). Also explained why f is continuous.<br><br>

We will need some theory related to the compactness of [0,1] to prove that f is surjective. To this end I introduced the notion of a <i>closed</i> subset A of a topological space, and the notion of an <i>accumulation point</i> of  a subset A of a topological space.  I  proved that A is closed if, and only if, it contains its accumulation points. 