Topology is a branch of mathematics that explores the properties of space that remain unchanged under continuous transformations—like stretching, twisting, or bending—without tearing or gluing. It emphasizes key concepts such as continuity, compactness, connectedness, and boundaries. Often called “rubber-sheet geometry,” topology focuses on the fundamental, qualitative features of shapes and spaces. One fascinating topic within topology is the study of knots, where loops of string are analyzed t

1K views · 74 reactions | Without pure maths, many scientists can't talk to one other. Pure maths funding is under pressure. Its stories must be told - from Lovelace to #Enigma. But what of the future? How do today's mathematicians and scientists use pure maths? We asked our young researchers. First up is PhD student George Booth. #ProtectPureMaths | Oxford Mathematics | Facebook