can someone help me to solve these problems in details??
Consider A =(0,1)× R. Is A open w.r.t. the topology induced by the French railway metric in R2? how
about B=(-1,1)× R???
Last edited by cummings123321; Jan 29th 2013 at 12:25 PM.
Is the the French railway metric defined as follows: $\displaystyle d((x_1,y_1),(x_2,y_2))=|x_1-x_2|+|y_1-y_2|$? Do you know how open balls under this metric look like?