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  Every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space (2404.00580v1)
    Published 31 Mar 2024 in math.GN
  
  Abstract: Answering a question posed by Vladimir Tkachuk, we prove that every $T_1$ connected first-countable space is a continuous open image of a connected metrizable space.
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