# Come on here?please

1. Apr 19, 2006

### Miss_lolitta

Miss. Lolitta says:

Hello everybody here

Can someone give me a complete lecture-that has introduction & examples and explaining-for

"the open mapping theorem" and "the closed range theorem"

actually I read some books about this theorem but they weren't clear for me

please,help me to figure out this theorem..

Thanks in advance

2. Apr 23, 2006

### mannyfold

Hi,

I'm not familiar with the theorems, but I can give a few definitions:

f is an open mapping if for all open sets O in the domain, f(O) is open in the range. In other words, f maps open sets to open sets.

f is a closed mapping if for all closed sets C in the domain, f(C) is closed in the range. In other words, f maps closed sets to closed sets.

I'm not sure what theorems you are talking about.

3. Apr 23, 2006

### HallsofIvy

Staff Emeritus
4. Apr 24, 2006

### Miss_lolitta

thanks sooooooo much

5. Apr 25, 2006

### JonF

I think I should just send tuition money to wikipedia instead of my university.

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