Resumen de A solution to de Groot's absolute cone conjecture

Craig R. Guilbault

• A compactum is an 'absolute cone' if, for each of its points , the space is homeomorphic to a cone with corresponding to the cone point. In 1971, J. de Groot conjectured that each -dimensional absolute cone is an -cell. In this paper, we give a complete solution to that conjecture. In particular, we show that the conjecture is true for and false for . For , the absolute cone conjecture is true if and only if the 3-dimensional Poincaré Conjecture is true