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Math Help - T-open

  1. #1
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    T-open

    Hi,

    my book says that "... If we wish to emphasize the topology T, then we refer to U as T-open, ..."

    Does this then mean that U fullfils the topology properties?

    Thanks a lot in advanced.

    Honey \pi
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  2. #2
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    Opalg's Avatar
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    Quote Originally Posted by HoneyPi View Post
    Hi,

    my book says that "... If we wish to emphasize the topology T, then we refer to U as T-open, ..."

    Does this then mean that U fullfils the topology properties?
    It means that U is an open set in the topology T. It's the topology T that has to fulfil the topology properties. The set U just has to satisfy the condition of being one of the open sets in that topology.
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  3. #3
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    Quote Originally Posted by Opalg View Post
    It means that U is an open set in the topology T. It's the topology T that has to fulfil the topology properties. The set U just has to satisfy the condition of being one of the open sets in that topology.
    Thanks for your prompt reply!

    It was too good to be true ....

    Honey \pi
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