20110304, 13:55  #1 
Apr 2005
13 Posts 
Pseudometric spaces and Lipschitz continuity
Hi,
does anyone know if the concept of Lipschitz continuity is welldefined on pseudometric spaces, the way it is on metric spaces? 
20110304, 15:16  #2 
"Tapio Rajala"
Feb 2010
Finland
3^{2}·5·7 Posts 
It is welldefined.

20110304, 20:43  #3 
Nov 2003
2^{2}×5×373 Posts 

20110305, 01:56  #4  
Nov 2003
2^{2}×5×373 Posts 
Quote:
where d(x,y) can equal 0 for some x!=y. Does anyone have a natural example where the space is defined on a Riemann manifold? What might such a distance function look like? Can a (topological) subspace of (say) a Banach or Hilbert space be pseudometric? As I have said before, topology is one of my weak areas. 

20110305, 09:54  #5 
Apr 2005
13 Posts 

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