Ultraconnected space | Wikipedia audio article
Channel: wikipedia tts
Date: 28/03/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Ultraconnected_space


00:00:44 See also



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SUMMARY
=======
In mathematics, a topological space 
  
    
      
        X
      
    
    {\displaystyle X}
   is said to be ultraconnected if no pair of nonempty closed sets of 
  
    
      
        X
      
    
    {\displaystyle X}
   is disjoint. Equivalently, a space is ultraconnected if and only if the closures of two distinct points always have non trivial intersection. Hence, no 
  
    
      
        
          T
          
            1
          
        
      
    
    {\displaystyle T_{1}}
   space with more than 1 point is ultraconnected.All ultraconnected spaces are path-connected (but not necessarily arc connected), normal, limit point compact, and pseudocompact.