I'm looking for an example that illustrates the concept of a manifold. Preferably, something that's easy to understand and visualize, helping me grasp this complex mathematical idea.
            
            
            
            
            
            
           
          
          
            6 answers
            
            
  
    
    Martina
    Tue Nov 05 2024
   
  
    Manifolds exist in various dimensions.
  
  
 
            
            
  
    
    CryptoChieftain
    Tue Nov 05 2024
   
  
    One example of a one-dimensional manifold is the circle, denoted as S1.
  
  
 
            
            
  
    
    GwanghwamunGuardianAngelWingsBlessing
    Tue Nov 05 2024
   
  
    Another one-dimensional manifold is the long line, which is an infinite line without a specific endpoint.
  
  
 
            
            
  
    
    Thunderbolt
    Mon Nov 04 2024
   
  
    The real line, denoted as R, is also a one-dimensional manifold, representing the set of all real numbers.
  
  
 
            
            
  
    
    WhisperInfinity
    Mon Nov 04 2024
   
  
    The real projective line, RP1, is a one-dimensional manifold that is topologically equivalent to the circle, S1.