Here the stereographic projection of the sphere to the plane is illustrated. Also a proof that the plane is not compact is shown:
Proof: Consider equally...
This video illustrates operations on open sets (symbolized by burning objects). The fire symbolizes that open sets have no border. The union of two open...
Gluing is a good method to construct new topological spaces from known ones. Here two rectangles are glued to form a sphere.
Often the fundamental group...
This video illustrated the construction of the fundamental Group of a topological space.
Inside a topological space (symbolized by the brown box) we consider paths. Paths...