Geodesic
On continuous extension of locally homeomorphic simplicial maps of $\mathbb R^2$ into itself by $\sigma$-processes
Matematičeskie zametki, Tome 59 (1996) no. 6, pp. 821-831

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It is shown that the Klein bottle with two points removed can be embedded in the compactification of $\mathbb R^2$ by a finite tree. 
@article{MZM_1996_59_6_a2,
     author = {F. Dell Accio},
     title = {On continuous extension of locally homeomorphic simplicial maps of $\mathbb R^2$ into itself by $\sigma$-processes},
     journal = {Matemati\v{c}eskie zametki},
     pages = {821--831},
     publisher = {mathdoc},
     volume = {59},
     number = {6},
     year = {1996},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1996_59_6_a2/}
}
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F. Dell Accio. On continuous extension of locally homeomorphic simplicial maps of $\mathbb R^2$ into itself by $\sigma$-processes. Matematičeskie zametki, Tome 59 (1996) no. 6, pp. 821-831. http://geodesic.mathdoc.fr/item/MZM_1996_59_6_a2/