My Favorite Set Theory Problem (just like a brain teaser)

Sign up for a free account at and try their daily challenges now. You can also get a 20% off discount for their annual premium subscription so you can get access to ALL of their awesome designed courses!

We will find a bijection from [0,1) to (0,1), have fun!!!
Note (thanks to Calvin) such a bijection cannot be continuous, since the preimage of any open set is open under a continuous map.

T-shirts:
my site:
twitter:
Patreon:
Blue Microphone:
black marker red marker:

bijection from [0 1) to (0 1),bijection from N to N+,bijection between intervals,bijection between real numbers,math for fun,blackpenredpen,set theory,baby set theory,set theory brain teaser,set theory riddle,