[tex]A_0 \subset f^{-1} (f (A_0)) [/tex](adsbygoogle = window.adsbygoogle || []).push({});

This inclusion is an equality if f is injective.

What I can't understand is how it is even defined iffisn't a bijection. If it is not a bijection, then there is no inverse function. Is there?

**Physics Forums - The Fusion of Science and Community**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Question Regarding Sets and Functions

Loading...

Similar Threads - Question Regarding Sets | Date |
---|---|

I Question Regarding Binary PR Predicates | Feb 12, 2017 |

Questions regarding the mathematics used in linked paper | Jul 9, 2015 |

Question regarding probability and normal distributions. | Oct 5, 2014 |

Basic question regarding logical implications | Jul 21, 2014 |

Question regarding probability of observation | Aug 4, 2013 |

**Physics Forums - The Fusion of Science and Community**