I am following several persons on Twitter, so my screen (sorry I don't know the Twitter nomenclature) is cluttered by things those people say, which discourages using Twitter at all.
Today I received an e-mail from Twitter titled "Here is what's happening on Twitter". And below in this mail were two headings: Stories and Tweets. Both sections contained Tweets only from people I am following, but, the Stories section had the important Tweets, exactly what I would be interested in reading on Twitter. There were only a few of them. The Tweets section contained a lot of unimportant everyday Tweets, which I am not interested in.
This mail was useful because it made possible to just read the Stories from people I am following.
Question: is there a way inside Twitter to make a filter only for "Stories" from followed people?