Goal: You want to install pip on RedHat 6 with Python version 2.7.x installed.
Problem scenario: You try "yum install python-pip" but get an error about python(abi) = 2.6 being an unmet dependency. Trying to install an older version may require you to downgrade other components. The latest version of Python packages is often safer and recommended.
Solution: Obtain a copy of python-pip-7.1.0-1.el7.noarch.rpm. Install it with yum. This way you do not have to downgrade various components of Python.