i am asking in regard to this answer
@MISC {1871279,
TITLE = {Prove that $\mathbb{R}^n\setminus \{0\} $ is connected for $n > 1$},
AUTHOR = {Aloizio Macedo (https://math.stackexchange.com/users/59234/aloizio-macedo)},
HOWPUBLISHED = {Mathematics Stack Exchange},
NOTE = {URL:https://math.stackexchange.com/q/1871279 (version: 2016-07-26)},
EPRINT = {https://math.stackexchange.com/q/1871279},
URL = {https://math.stackexchange.com/q/1871279}
}