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    Infinite Series
            Topology vs "a" Topology
                
                    
                        
                            Season 2
                        
                    
                    
                        
                            Episode 5
                        
                    
                
            
            
            What exactly is a topological space?
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          8:16
        
      
    
  
  
                    
                
            The proof for Brouwer's Fixed Point Theorem uses a bridge between geometry and algebra.
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          9:36
        
      
    
  
  
                    
                
            How can two people share the same key without someone else getting a hold of it?
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          8:02
        
      
    
  
  
                    
                
            Here we break down Asymmetric crypto and more.
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          6:47
        
      
    
  
  
                    
                
            Encryption isn’t really about factoring or prime numbers. What is it about?
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          8:21
        
      
    
  
  
                    
                
            What happens when you multiply shapes?
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          7:28
        
      
    
  
  
                    
                
            What happens if you multiply things that aren’t numbers?
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          11:19
        
      
    
  
  
                    
                
            Why is there a hexagonal structure in honeycombs? Why not squares?
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          14:24
        
      
    
  
  
                    
                
            The answer lies in the weirdness of floating-point numbers and the computer's perception..
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          13:45
        
      
    
  
  
                    
                
            What happened when a gambler asked for help from a mathematician?
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          12:04
        
      
    
  
  
                    
                
            The theory of social networks allows us to mathematically model and analyze..
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          14:31
        
      
    
  
  
                    
                
            The bizarre Arrow’s Impossibility Theorem, or Arrow’s Paradox.
        
        
     
    
                        
  
  
    
      
    
  
  
    
      
        
          10:54
        
      
    
  
  
                    
                
            What is the best voting system?
        
        
     
     
     
     
     
     
     
     
     
     
     
    