proof of inverse function theorem (topological spaces)
Since is bijective we have
As is closed and since is compact is compact too (this and the following are well know properties of compact spaces). Moreover being continuous we know that also is compact. Finally since is Hausdorff then is closed.
|Title||proof of inverse function theorem (topological spaces)|
|Date of creation||2013-03-22 13:31:55|
|Last modified on||2013-03-22 13:31:55|
|Last modified by||paolini (1187)|