===== Homeomorphism =====
==== Set ====
| @#55CCEE: context     | @#55CCEE: $\langle X,\mathcal{T}_X\rangle, \langle Y,\mathcal{T}_Y\rangle$ ... topological spaces |
| @#FFBB00: definiendum | @#FFBB00: $f\in$ it |
| @#AAFFAA: inclusion   | @#AAFFAA: $f$ ... bijection, continuous  |
| @#55EE55: postulate   | @#55EE55: $f^{-1}$ ... continuous  |

==== Discussion ====
A homeomorphism is a bijection which is continuous in both directions. 

=== Reference ===
Wikipedia: [[https://en.wikipedia.org/wiki/Homeomorphism|Homeomorphism]]
==== Parents ====
=== Context ===
[[Topological space]]
=== Subset of ===
[[Bijective function]], [[Continuous function]]