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what does it mean for a function “not to respect equality”

I am reading from this book about different versions of the axiom of choice. The author describes weak choice as the following I have no clue what “respecting equality” means for a function. Surely, if two elements of the domain are actually equal, then they must map to the same element in the range by […]

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Ask Mathematics

what does it mean for a function “not to respect equality”

I am reading from this book about different versions of the axiom of choice. The author describes weak choice as the following I have no clue what “respecting equality” means for a function. Surely, if two elements of the domain are actually equal, then they must map to the same element in the range by […]

Categories
Ask Mathematics

what does it mean for a function “not to respect equality”

I am reading from this book about different versions of the axiom of choice. The author describes weak choice as the following I have no clue what “respecting equality” means for a function. Surely, if two elements of the domain are actually equal, then they must map to the same element in the range by […]