Results 1 to 3 of 3

Thread: Bimonotonic function

  1. #1
    Member
    Joined
    Oct 2012
    From
    israel
    Posts
    176
    Thanks
    14

    Bimonotonic function

    Hi,
    Does there exist a non-identity surjective bimonotonic function on the power set of the natura numbers?

    That is, A is strictly included in B if and only if f(A) is strictly included in f(B)

    I showed that this is not true from p(N)-{N} to p(N).
    Thank's in advance.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Nov 2013
    From
    California
    Posts
    5,778
    Thanks
    2421

    Re: Bimonotonic function

    I'm not seeing any definition of bimonotonic anywhere.

    Care to define it for us?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Oct 2012
    From
    israel
    Posts
    176
    Thanks
    14

    Re: Bimonotonic function

    The definition is stated in my post.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 0
    Last Post: Apr 26th 2016, 08:16 PM
  2. Replies: 20
    Last Post: Nov 27th 2012, 05:28 AM
  3. Replies: 0
    Last Post: Oct 19th 2011, 04:49 AM
  4. Replies: 4
    Last Post: Oct 27th 2010, 05:41 AM
  5. Replies: 3
    Last Post: Sep 14th 2010, 02:46 PM

/mathhelpforum @mathhelpforum