Does exist continuing and injective transformation B->A ?
Are they homeomorphic?
2026-04-07 06:27:10.1775543230
continuing and injective transformation
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There exists a continuous injective map $B\to A$ (remove the lower edge of $A$ to see it). $A$ and $B$ are not momeomorphic, however, because it is possible to remove 5 points from $A$ and obtain 8 connected components whereas removing 5 points from $B$ produces at most 7 connected components (why?).