Show that the open unit interval ] 0 , 1 [ {\displaystyle {}]0,1[} and the closed unit interval [ 0 , 1 ] {\displaystyle {}[0,1]} are not homeomorphic.
![{\displaystyle {}]0,1[}](https://wikimedia.org/api/rest_v1/media/math/render/svg/9e10240bd775389df50353c3fe6e4543873c2ba3)
![{\displaystyle {}[0,1]}](https://wikimedia.org/api/rest_v1/media/math/render/svg/2a5d0a058030cf6f54dea8f7b56f08f18cfa7e4f)