The "refinement" terminology in connection with Christ's 1998 paper seems to originate from Tao and Wright's 2001 article, although the earliest explicit reference to "Christ's method of refinements" I could locate is a 2005 article.

Christ himself speaks of a "refined band structure".

The "refinement" terminology in connection with Christ's 1998 paper seems to originate from Tao and Wright's 2001 article, although the earliest explicit reference to "Christ's method of refinements" I could locate is a 2005 article.

Christ himself speaks of a "refined band structure".

Origin of terminology:

I think the "refinement" terminology in connection with Christ's 1998 paper originates from Tao and Wright's 2001 paper, although the earliest explicit reference to "Christ's method of refinements" I could locate is a 2005 article. Christ himself uses the term in a 2011 article.

The "refinement" terminology in connection with Christ's 1998 paper seems to originate from Tao and Wright's 2001 article, although the earliest explicit reference to "Christ's method of refinements" I could locate is a 2005 article. 

Christ himself speaks of a "refined band structure".