topology

/təˈpɑlədʒi/
noun
  1. The branch of mathematics that studies the properties of shapes and spaces that are preserved under continuous deformations such as stretching, twisting, and bending.
    • She decided to take a course in topology to understand the shape of the universe better.
    • One famous problem in topology is the Poincaré conjecture, which was solved in 2003.
    • Topology is sometimes called 'rubber-sheet geometry' because it allows stretching without tearing.
  2. The arrangement or structure of the parts of a system, especially a computer network, in terms of their connections.
    • The network topology of the office is a star, with all computers connected to a central hub.
    • Changing the topology of the circuit improved its efficiency.
    • A bus topology connects all devices along a single cable.
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