UCAS to higher education. Personal statements can contain a maximum of 4,000 characters (including spaces) or 47 lines – whichever comes first, with a maximum of 94 characters per line. A research study conducted by UCAS with over 300,000 personal statements of students revealed that the personal statement (among the student's grades) is the most important part within the application process. The final part of the process involves paying an application fee and obtaining a written reference. The process varies depending on whether a student is applying through a school, college or UCAS centre or as an individual. For the former,
Virtually fibered conjecture fact, given that the geometrization conjecture is now settled, the only case needed to be proven for the virtually fibered conjecture is that of hyperbolic 3-manifolds. The original interest in the virtually fibered conjecture (as well as its weaker cousins, such as the virtually Haken conjecture) stemmed from the fact that any of these conjectures, combined with Thurston's hyperbolization theorem, would imply the geometrization conjecture. However, in practice all known attacks on the "virtual" conjecture take geometrization as a hypothesis, and rely on the geometric and group-theoretic properties of hyperbolic 3-manifolds. The virtually fibered conjecture was not actually conjectured by