The fundamental group of Klein bottle has been well discussed in many materials, I'm think if it is requested to calculate the fundamental group of $K\# K/\{3\text{ points}\}$ or even more generally $K\# K/\{n\text{ points}\}$ where $K$ is the Klein bottle. I found it might has deformation retraction onto Mobius band with $n$ circles but not very sure. I'm looking forward to idea on it
2026-02-22 19:55:21.1771790121
Fundamental group of $K\# K/\{3\text{ points}\}$
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