Detailed, hand-written notes for the 2nd year course MA260 Norms, Metrics and Topology from the University of Warwick; lectured by Professor James Robinson in 2018 2019. This complete set of notes includes helpful examples, additional comments, annotations and diagrams, making them an ideal learning resource for anyone wanting to learn about introductory level topology. These content covers: Metric Spaces, Normed Spaces, Introduction to Basic Topology, Compact, Connected and Complete Spaces, ...