The establishment of a new private liberal-arts college in London, which was announced to widespread media coverage on Sunday, appears to have already hit several significant hurdles. A.C. Grayling, a well-known philosopher and the driving force behind the New College of the Humanities, had said in an introduction to the institution posted on its Web site that its students would have access to many resources at the University of London, including its libraries. However, in a statement, the University of London said that there was “no formal agreement between the University of London and the NCH concerning academic matters” and that there was not yet any agreement “regarding access to the Senate House Libraries by NCH students.”