ðə sˈɛt ɪz nˌɑːt klˈoʊzd ɪnðə juːklˈɪdiːən təpˈɑːlədʒi sˈɪns ɪt dʌznˌɑːt kəntˈeɪn ðɪ ˈɔːɹɪdʒˌɪn wˌɪtʃ ɪz ɐ lˈɪmɪt pˈɔɪnt ʌv , bˌʌt ðə sˈɛt ɪz klˈoʊzd ɪnðə fˈaɪn təpˈɑːlədʒi ˈɪn .
The set  is not closed in the euclidean topology since it does not contain the origin which is a limit point of , but the set is closed in the fine topology in .