Is the Abstract Mathematics of Topology Applicable to the Real World?

1st speaker :
◇ History: Riemann discovered Topology on his papers left behind after death. He told friend Betti.
◇ Betti Number: number of
– scissor cut to make a tree (in 2 dim),
– drill cutty make a disk (in 3 dim).
◇
2nd speaker:
◇ Evolution (bacteria) using Topology Barcoding.
3 speaker:
◇ Liquid Crystal: Homology