Topology is a kind of math — it's the study of shapes that can be stretched and moved while points on the shape continue to stay close to each other

In the branch of geometry known as topology, two objects are equivalent if you can make them resemble each other by stretching, bending, or twisting them. This makes sense if you imagine two rubber bands: you can manipulate them into squares or ovals, and they are still the same. In computer science, topology refers to the way elements of a network are arranged. And in the 1650s, topology was the study of "the location where plants are found."

Definitions of topology
  1. noun
    topographic study of a given place (especially the history of the place as indicated by its topography)
    “Greenland's topology has been shaped by the glaciers of the ice age”
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    type of:
    precise detailed study of the surface features of a region
  2. noun
    the study of anatomy based on regions or divisions of the body and emphasizing the relations between various structures (muscles and nerves and arteries etc.) in that region
    synonyms: regional anatomy, topographic anatomy
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    type of:
    anatomy, general anatomy
    the branch of morphology that deals with the structure of animals
  3. noun
    the branch of pure mathematics that deals only with the properties of a figure X that hold for every figure into which X can be transformed with a one-to-one correspondence that is continuous in both directions
    synonyms: analysis situs
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    type of:
    pure mathematics
    the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
  4. noun
    the configuration of a communication network
    synonyms: network topology
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    bus, bus topology
    the topology of a network whose components are connected by a busbar
    loop, loop topology
    the topology of a network whose components are serially connected in such a way that the last component is connected to the first component
    star, star topology
    the topology of a network whose components are connected to a hub
    mesh, mesh topology
    the topology of a network whose components are all connected directly to every other component
    physical topology
    the appearance of the network
    logical topology
    the way the network works
    type of:
    configuration, constellation
    an arrangement of parts or elements
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