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topology vs pure mathematics

pure mathematics vs topology

topology and pure mathematics both are nouns.

Word NounAdjectiveVerbAdverb
topology Yes No No No
pure mathematics Yes No No No
As nouns, pure mathematics is a hypernym of topology; that is, pure mathematics is a word with a broader meaning than topology:
  • topology: 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
  • pure mathematics: the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
topology (noun) pure mathematics (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 the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness
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
topographic study of a given place (especially the history of the place as indicated by its topography)
the configuration of a communication network
Difference between topology and pure mathematics

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