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Math Help - Open and metric

  1. #1
    Junior Member
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    Open and metric

    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; January 29th 2013 at 12:25 PM.
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  2. #2
    MHF Contributor
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    Re: Open and metric

    Is the the French railway metric defined as follows: 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?
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