Metric spaces, topological spaces, connectedness, compactness, the fundamental group, classifications of surfaces, Brouwer's fixed point theorem.

This unit will cover algebraic topology, following on from MAS331: Metric Spaces. Topology studies the shape of space, with examples such as spheres, the Mobius Band, the Klein bottle, the torus and ...

This unit will cover algebraic topology, following on from metric spaces. Topology studies the shape of spaces, with examples such as spheres, the Möbius Band, the Klein bottle, the torus and other ...

Metric spaces, topological spaces, connectedness, compactness, the fundamental group, classifications of surfaces, Brouwer's fixed point theorem.