The goal of this meeting was to offer background on Set Theory, especially large cardinals, and discuss a number of situations in Abelian Group Theory, Category Theory and Algebraic Topology where set-theoretical methods play a crucial role for the solution of certain open problems. The courses were aimed at a mixed audience of graduate students, recent doctors, and also specialists in some focus area of the meeting who wanted to know more about the other areas.

Lectures started on Thursday, September 1, at 15.30. The afternoon of September 2 was devoted to Algebraic Topology and the afternoon of September 3 focused on Category Theory. Problem sessions were organized on Monday afternoon and Tuesday afternoon. A two-day workshop followed, ending September 8 in the evening.

The course was promoted and sponsored by the Spanish Topology Network as a part of its annual program. The event was also supported by Ingenio Mathematica (i-MATH) and by the Mathematical Institute of the University of Barcelona.