Based in this question Why this space is homeomorphic to the plane? I would like to know which space this space is homeomorphic, any help or an intuitive idea are welcome.

[Context of Image: related to the problem from this pdf document.]
Thanks
Based in this question Why this space is homeomorphic to the plane? I would like to know which space this space is homeomorphic, any help or an intuitive idea are welcome.

[Context of Image: related to the problem from this pdf document.]
Thanks
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