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Suppose that X is contained in Y, and Y is contained in Z, where X, Y, and Z all are metric spaces. Show that X is compact relative to Y iff X is compact relative to Z. -- │ ┌─┐ ┌─┐ ▂▃▂ /│╲ │ ├─┤ │ ├─┤ ◥█ ┘ ─┼─├─┘─┼─├─┘ ▆▆▆ ▆ ▆▆ ▆▆▆ /│╲│┼╮/│╲│┼╮◣ ◢ █▆█ █ ▊█ ◢██ ▊▊█ █▆█ └╯└〒▽〒└╯└ █ ██ ██ ◥▆▆ ███ ◢◤█ 摸狗狗退散 ▅▄▆ -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 140.112.218.142