Topology in English is called 位相幾何学 in Japanese; also, topological space is called 位相空間. But why is topology called 位相幾何学? What is the correspondence between topo and 位相? What is the origin of 位相?
In Japanese mathematics, the word ‘functor’ is translated as 関手【かんしゅ】. What is the etymology of this word? I suspect that it is a pun on 関数 (function). This leads to two further questions: Why 関手 ...