If  contains p, every point  is an accumulation point of Y, since  (the smallest neighborhood of ) meets Y.  Y has no ω-accumulation point.
ɪf kəntˈeɪnz pˈiː, ˈɛvɹi pˈɔɪnt ɪz ɐn ɐkjˌuːmjʊlˈeɪʃən pˈɔɪnt ʌv wˈaɪ, sˈɪns ðə smˈɔːlɪst nˈeɪbɚhˌʊd ʌv mˈiːts wˈaɪ.  wˈaɪ hɐz nˈoʊ oʊmˈeɪɡəɐkjˌuːmjʊlˈeɪʃən pˈɔɪnt.