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单词 quotient topology
释义 quotient topology
[`kwō·shǝnt tǝ`päl·ǝ·jē]
MATHEMATICS
If X is a topological space, X /R the quotient space by some equivalence relation on X, the quotient topology on X /R is the smallest topology which makes the function which assigns to each element of X its equivalence class in X /R a continuous function.
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