The deleted comb space is the space obtained from the topologist's comb by deleting the open interval $\{0\} \times (0,1)$. I have to prove that the deleted comb space is connected and has two path components.
Can anybody help me? I need an idea.
The deleted comb space is the space obtained from the topologist's comb by deleting the open interval $\{0\} \times (0,1)$. I have to prove that the deleted comb space is connected and has two path components.
Can anybody help me? I need an idea.
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