Continuity - Topology #4

[@carolinewilhelm7672]

Thanks for the video series and for keeping Lula with us despite the tighter shot

[@thavishchetty6376]

Quite a few years late, but this series is really well structured and helpful!

[@kusy]

What's the problem with defining Continuity as For any *element* v ∈N, there is a preimg(v) ∈ M without their topologies?

[@PDiracDelta]

Thanks for the video.
I've spotted a mistake: the last preim you wrote somewhere around minute 14 corresponds to f^{-1}, not to f.

[@WHYBmaths]

Yes that's right thank you! Although I'm lucky here that f^{-1}=f so it didn't matter, good spot anyway!

[@rehannaqvi5335]

Hey! Can you please recommend some textbook alongwith it?

[@WHYBmaths]

`Geometry, Topology and Physics' - Mikio Nakahara is an excellent book! However, no book can ever live up to Fredric Schuller's `Geometric anatomy of Theoretical Physics' and `WE Heraus Gravity & Light' lectures! Cannot recommend these enough for an extremely thorough yet intuitively explained treatment of Topology + Differential geometry!

[@sanathabbas3659]

Thank you!!