The fundamental Group

[musichalloffame]

Thank you for posting. I have never taken topology and understoof every concept you demostrated by watching the video and reading the discription. Thank you! how can I learn more?

[insult0master]

Was this rendered in blender?

[ludwig42]

This video needs a narration.

[joliteal]

this explains something?

[bothmer]

Yes. It tries to visualise how the fundamental group of a topological space is constructed. Basically one can add paths (grey curves in the video) by attaching them to each other (see more detailed explanation above). The fundamental group is used to distinguisch topological spaces, since topologicaly equivalent spaces have the same fundamental group.

[LkNsngth]

just a technical issue, the fundamental group is supposed to be a group with loops but thats not too important. ultimately the important thing of the fundamental group is that different spaces have different groups. two spaces with the same group may not be equivalent

[kelemengabi]

super.

[VectorFlower]

Thanks for posting.