As an example, in the situation with the torus We've 1-dimensional holes presented by polyhedra encompassing the torus in two Instructions. The sphere doesn't have these 1-dimensional holes, nonetheless it includes a two-dimensional hole which can be surrounded by covering all the sphere. These k-polyhedra are topological; that is definitely, we sh

The conjecture is formulated as follows: If X is often a projective manifold, any class of rational homology of style (p, p) could be represented by elaborate submanifolds in the complex dimension p. The formulation is proposed as an extension of Thom’s aforementioned consequence, exactly where any course of rational homology of dimension k is of