A solution to de Groot's absolute cone conjecture

• Autores: Craig R. Guilbault
• Localización: Topology, ISSN 0040-9383, Vol. 46, Nº 2, 2007, págs. 89-102
• Idioma: inglés
• DOI: 10.1016/j.top.2006.12.001
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• Resumen

  • 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