Topology - chi_A: XtoR, is continuous at x iff x is not in the frontier of A
![](https://i.ytimg.com/vi/2hX8NzP9hWA/mqdefault.jpg)
1:48
Topology - X=UA_n, A_n in interior(A_{n+1}). If f|A_n is continuous for all n, then f continuous.
![](https://i.ytimg.com/vi/bQAZo2BeLxc/mqdefault.jpg)
8:55
JD Vance's bizarre speech will backfire on Trump
![](https://i.ytimg.com/vi/uYfnHSGpnNE/mqdefault.jpg)
2:44
Topology - Open/Closed Map. The exponential map, the folding map, the winding map.
![](https://i.ytimg.com/vi/MnKsxnP2IVk/mqdefault.jpg)
15:50
FULL REMARKS: JD Vance Puts European Leaders On Notice About Trying To Regulate U.S. Tech Giants
![](https://i.ytimg.com/vi/gHUZFXvy4yE/mqdefault.jpg)
16:51
Understanding Measure Theory and the Lebesgue Integral
![](https://i.ytimg.com/vi/lHscezT8HHc/mqdefault.jpg)
4:48
Analysis - Pointwise and Uniform Convergence of Sequences of Functions on Set A
![](https://i.ytimg.com/vi/OcCRflNM-Xk/mqdefault.jpg)
12:11
Simple Explanation of the Birthday Paradox
![](https://i.ytimg.com/vi/50QPdW78Dfc/mqdefault.jpg)
14:45