The join of a point and a polygon (or any polytope) is a pyramid, like the join of a point and square is a square pyramid. The join of a point and a cube is a cubic pyramid. The join of a point and a circle is a cone, and the join of a point and a sphere is a hypercone.
Sep 4, 2013 · Abstract:We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the ...
Feb 3, 2015 · We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the (colorful) ...
Oct 22, 2024 · We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the (colorful) ...
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It is shown that the geometric join is contractible provided the number of sets is quadratic in the Euclidean space, and a matroid generalization of ...
We consider the geometric join of a family of subsets of the Euclidean space. This is a construction frequently used in the (colorful) Carath,odory and ...
Oct 28, 2012 · The join is not actually associative for general topological spaces, but it is for locally Hausdorff ones. My definition of the join is a quotient of a product.
Oct 3, 2010 · Geometric topology is largely about the study of manifolds -- which are like varieties but with no singularities, i.e. homogeneous objects.
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Topology deals with spatial and structural properties of geometric objects, independent of their extension, type, or geometric form.