Covering space of S¹ (covering map ℝ → S¹)

Covering space is an important concept in topology. In this video classic example of a covering space is illustrated. That is a covering map from the set of real numbers ℝ to the circle S¹. It is not the only one existing covering space of a circle, but it is a universal cover – simply connected.

[Lucky]

How does this not have more likes? It's so helpful!

[borisdhanjal]

This is a phenomenal channel! Subscribed.

[tacostt]

amazing work even though I graduated But I still can remember covering space and this example❤

[Gdb]

This Channel is absolutely amazing!
How about the covering space of the figure 8 (S^1 v S^1)😜

[pinklady]

There are some viewers who are colour blind or night blind.
For the night blind, avoid colours of medium shades for pens as they get blended in black background and so be lost to night-blind viewers. Use bright neon colours instead so to help them see writing or drawings. Prefer pink neon pen to red or purple pen.