Topology through inquiry

Shared by Petra Svobodová • mathematics, topology through inquiry, starbird • 2019

-the enchanting world of topology; cardinality: to infinity and beyond; topological spaces: fundamentals; bases, subspaces, products: creating new spaces; separation properties: separating this from that; countable features of spaces: size restrictions; compactness: the next best thing to being finite; continuity: when nearby points stay together; connectedness: when things don't fall into pieces; metric spaces: getting some distance; transition from point-set topology to algebraic and geometric topology: similar strategies, different domains; classification on 2-manifolds: organizing surfaces