Could any one help me to prove the following question:(adsbygoogle = window.adsbygoogle || []).push({});

"How can we show that the set {A in GL(n;R) | det(A)>0} is homeomorphic to the set {A in GL(n;R) | det(A)<0}?"

**Physics Forums | Science Articles, Homework Help, Discussion**

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!

# The set {A in GL(n;R) | det(A)>0} is homeomorphic to the set {A in GL(n;R) | det(A)<0

Loading...

Similar Threads for homeomorphic |
---|

I Difference between diffeomorphism and homeomorphism |

**Physics Forums | Science Articles, Homework Help, Discussion**