It roughly says there exists a continous function from a normal space X to some interval [a,b](adsbygoogle = window.adsbygoogle || []).push({});

Since the the space is a normal space, there exist two disjoints closed subsets A and B.

What I don't understand is how can you associate some abstract space with a real interval and is continous as well?

**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!

# Urysohn lemma?

Loading...

Similar Threads for Urysohn lemma | Date |
---|---|

A Last Gauss Lemma Section II | Feb 4, 2018 |

I Proving a lemma on decomposition of V to T-cyclic subspace | Mar 16, 2017 |

I Multiplication Maps on Algebras ... Bresar, Lemma 1.25 ... | Dec 5, 2016 |

I Bresar, Lemma 1.3 - Real Quaternions ... Division Algebras | Nov 20, 2016 |

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