Cantor's theorem, Woodin Cardinal, Sacks Forcing and Martin's Axiom are just some of well-known theorems and concepts of mathematics which have the name of those mathematicians who introduced these theorems and concepts for the first time. I think no reasonable mathematician calls his or her discovered theorem and concept using his or her own name at the first time. In fact after a while the mathematics community gives such names to theorems and concepts. Also there are many other new theorems and concepts which remain without any particular name.
Question: What are the main parameters which attach the name of a mathematician to his or her discovered theorem and concept? Any references in sociology of mathematics community about this phenomena is welcome.