Helo,I need confirmation on this concept:
Let (M,d) be a metric space and be a bijective map ,then we can make N a metric space isometric to M by defining a metric by : distance between and equals distance between x and y
Last edited by Ackbeet; August 3rd 2011 at 05:21 AM.
Helo,I need confirmation on this concept:
Let be a metric space and be a bijective map ,then we can make N a metric space isometric to M by defining a metric by : distance between and equals distance between x and y
Yes, it's true. You have to show that indeed is a metric, and by definition of , is an isometric map.