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The one-point connectification conjecture for locally connected $T_3$ -spaces
One-point connectification conjecture. Let $i=3$ . A locally connected $T_i$ -space has a $T_i$ one-point connectification if and only if it has no compact (or almost compact) compon…
Conjectureopenconnectification general-topologyarXiv posted 2 days ago

The one-point connectification conjecture for locally connected T3T_3T3​-spaces