Mathematicians have disproved the telescope conjecture, revealing that the universe of shapes in high dimensions is more complex than previously thought. The disproof has significant implications for homotopy theory, which classifies topological spaces and maps between them. The number of maps between spheres depends on the difference in dimensions, with mathematicians calculating the number of maps for almost all differences up to 100. This breakthrough could reshape our understanding of the mathematical universe.
Read more at Quanta Magazine…
Mathematicians have disproved the telescope conjecture, revealing that the universe of shapes in high dimensions is more complex than previously thought. The disproof has significant implications for homotopy theory, which classifies topological spaces and maps between them. The number of maps between spheres depends on the difference in dimensions, with mathematicians calculating the number of maps for almost all differences up to 100. This breakthrough could reshape our understanding of the mathematical universe.