The text I'm reading explains how there is a natural isomorphism between a vector space and the dual of the dual of the vector space. The author explains that this is so because the isomorphism he defines makes no reference to a specific basis of the vector space. I understand that natural isomorphisms fall under the umbrella of category theory. Why are natural isomorphisms significant?(adsbygoogle = window.adsbygoogle || []).push({});

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

Join Physics Forums Today!

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

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

# Natural isomorphisms

Loading...

Similar Threads for Natural isomorphisms | Date |
---|---|

I Nature of cyclic groups | Feb 21, 2017 |

A How Do Engel and Lie Arise Naturally? | Oct 16, 2016 |

Natural isomorphisms between dual spaces | Apr 8, 2011 |

Natural isomorphism of Left adjoints | Aug 6, 2008 |

Natural isomorphism of VxV* and End(V) | Apr 11, 2005 |

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