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来自维基百科,自由的百科全书
數學中的環圈(loop)是拓撲空間X上的連續函數f,其定義域為單位區間I = [0,1],而且f(0) = f(1)。換句話說,環圈是拓撲學中,起點和終點相同的道路(path)[1]。
環圈也可以視為是從點標空間單位圓S1映射到X的連續映射f,因為S1可以視為是I商空間under the identification of 0 with 1。
X所有環圈的集合可以形成一空間,稱為X的環圈空間[1]。
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