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