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    • CommentRowNumber1.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2017

    the entry neighbourhood base was in a funny state. I have edited a little. No mention of filters yet.

    • CommentRowNumber2.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 15th 2017

    I edited a little myself.

    • CommentRowNumber3.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2017

    That makes sense, thanks.

    • CommentRowNumber4.
    • CommentAuthorTodd_Trimble
    • CommentTimeMay 15th 2017
    • (edited May 15th 2017)

    I edited some more: I removed the superscripts xx as superfluous (and overly busy as notation), and removed the word “open” preceding the U iU_i since there is no insistence on that (as when one says, “a base of compact neighborhoods”, etc.).

    • CommentRowNumber5.
    • CommentAuthorUrs
    • CommentTimeMay 15th 2017

    Sure. I had added those superscripts to amplify that the base elements are all required to be neighbourhoods of xx, too, instead of more general open subsets. I sometimes see that condition being omitted (forgotten).