Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Come on here?please

  1. Apr 19, 2006 #1
    Miss. Lolitta says:

    Hello everybody here :smile:

    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:bugeye:

    please,help me to figure out this theorem..

    Thanks in advance
  2. jcsd
  3. Apr 23, 2006 #2

    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.
  4. Apr 23, 2006 #3


    User Avatar
    Science Advisor

  5. Apr 24, 2006 #4
    thanks sooooooo much
  6. Apr 25, 2006 #5
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook