Date: Jan 6, 2013 2:35 PM
Author: Zaljohar@gmail.com
Subject: A size criterion: a question

If we characterize cardinality in the following manner, How much that
would differ from the known cardinality:

|x| < |y| iff there exist an injection from x to y and there do not
exist a surjection from a subset of x to y.

|x| > |y| iff there exist a surjection from a subset of x to y and
there do not exist an injection from x to y.

|x| = |y| iff there exist an injection from x to y and there exist a
surjection from a subset of x to y.

Zuhair