Re: map vs. set (stl)

Let's say I have something like this, where 'name' is a POD type, and
'value' is a class.

std::map< name, value >

But then I realize that 'name' should actually be one of the members
of 'value' class, so I have a redundancy. I then switch and start
using std::set< value >. To make 'value' suitable for this purpose, I
make it look like this...

class value {
  const int name;
  bool operator<( const value& rhs ) const
     { return name < rhs.name; }
  void operator=( const value& rhs );
  ...
};

This now satisfies the requirements of a set, and it works. Great.
But I feel as though I have really strayed far from the idea of a
set. For example, the key part of my value is constant, but the whole
value is not.

Should I really be using a set like this?