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Continuum theory, point-set topology, spaces with algebraic structure, foundations, dimension theory, local and global properties.

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Topological complexity of circle

In the some of article from Michael Farber that is about topological complexity, I'm stuck in continuity of $S_1$ as follows: Define $U_1 ⊂ S^1 \times S^1$ as $U_1 = \{(A, B); A \neq -B\}$ .A continuo …
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