AlgTop2: Homeomorphism and the group structure on a circle

[35171julie]

Does anyone think that he sounds a little bit like Alex Trebek?

[DrimitPattanayak]

great lecture.....

[koustubh11121992]

sir,it feels good that u feel that Indian high school teaching is of very high standard(coz i m an Indian!!)....but the competition to study in a good college is way tougher than in australia....only students in an around 99.5 percentile get to study in good colleges......that is crazy...isnt it?btw i m a stud mad about modern physics and from that ....in topology....take a bow ,sir!!!

[Pritam28]

Thanks for the lectures. Been searching for this for quite some time. The camera-work could have been better!

[tinlyx]

I have a naive question (around 6:00) about the map from the half-open interval to a circle. Should it be that the map is not continuous and the its inverse is not continuous (at 0)?

[contiunous]

@tinlyx No, the map is continuous.

[nkadambi]

@tinlyx Since in a circle, the points 0 and 1 were the same, you are unable to "go back" from the circle to the line in a continuous way. That is why the inverse fails to be continuous.

[ctressle]

This stuff is awesome, glad I found it! The group structures on the conics, is that also a taste of algebraic geometry?

[UNSWelearning]

Hi ctressle Yes this is definitely a taste of algebraic geometry: an analogous group operation on a cubic curve is one of the central topics in that subject.