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題目是這樣的.... |N={1,2,3,...} is nature number, and let s:|N -->|N be the shift map, defined by s(n)=n+1. Prove that s has no right inverse, but that is has infinitely many left inverses. 這題想好久,不知道該從何下手.... 煩請各位大大的指教了 :) -- ※ 發信站: 批踢踢實業坊(ptt.cc) ◆ From: 180.177.112.173
keroro321 :for any map g:|N->|N ,((s。g)^(-1))(1) = ? 09/28 14:31
recorriendo :left inverse只需要把2變回1 3變回2... 至於1可以變 09/28 14:45
recorriendo :到任何數 沒有right inverse是因為他不surjective 09/28 14:45