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Space Suggestion: Dijkstra's connected space #1843
Let $X$ be the space $\gamma Y$ of the article An explosion point space without the fixed point property by Dijkstra.
The construction is too complicated to write here. Note that "totally disconnected" means "totally separated" for Dijkstra
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prabau commentedon Sep 29, 2026
https://zbmath.org/1101.54041