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Constructive mathematics in the style of Bishop, including its semantics using realizabilty or topological methods.

3 votes
0 answers
203 views

Constructive proof of the approximate Brouwer's Fixed Point Theorem for $\Delta^n$

The approximate Brouwer Fixed Point Theorem (aBFPT) for the standard $n$-simplex is: Let $f$ be a uniformly continuous function from $\Delta^n$ into itself. Then for each $\varepsilon>0$ there e …
stefanarno's user avatar
10 votes
7 answers
1k views

Constructive proof of existence of non-separable normed space

I am looking for a constructive proof of one of the following two statements. If they are not constructively provable, I would be very thankful for an explanation as to why that is so (i.e., at which …
stefanarno's user avatar