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## Homeomorphism

### Set

context | $\langle X,\mathcal{T}_X\rangle, \langle Y,\mathcal{T}_Y\rangle$ … topological spaces |

definiendum | $f\in$ it |

inclusion | $f$ … bijection, continuous |

postulate | $f^{-1}$ … continuous |

### Discussion

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

#### Reference

Wikipedia: Homeomorphism