Why topology in the minimalist foundation must be pointfree
نویسندگان
چکیده
We give arguments explaining why, when adopting a minimalist approach to constructive mathematics as that formalized in our two-level minimalist foundation, the choice for a pointfree approach to topology is not just a matter of convenience or mathematical elegance, but becomes compulsory. The main reason is that in our foundation real numbers, either as Dedekind cuts or as Cauchy sequences, do not form a set. MSC 2000: 03G30 03B15 18C50 03B20 03F55
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