郭逸軒 發問時間: 科學數學 · 1 0 年前

path-connected set的定義

我需要path-connected set的定義。(我要英文的!)

最好能再舉一個例子說明。(也要是英文的!)

1 個解答

評分
  • 1 0 年前
    最佳解答

    Definition:We say that a set is path-connected if every two opints in the set can be joined by a continuous path lying in the set.

    example:[0,1] is path-connected.

    for all points a and b in [0,1], there is a function f(x) = x such that f(a) = a, f(b) = b, f is continuous, so f is a continuous path.

    2010-01-09 16:48:06 補充:

    第一行打錯字 if every two "points"...

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