pure mathematics vs topology
topology vs pure mathematicspure mathematics and topology both are nouns.
| Word | Noun | Adjective | Verb | Adverb |
|---|---|---|---|---|
| pure mathematics | Yes | No | No | No |
| topology | Yes | No | No | No |
As nouns,
topology is a hyponym of
pure mathematics; that is, topology is a
word with a more specific, narrower meaning than
pure mathematics:
- 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: 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
Other hyponyms of pure mathematics include
arithmetic, geometry, numerical analysis, trig, trigonometry, algebra, calculus, infinitesimal calculus, set theory, group theory, analysis situs, metamathematics.
| pure mathematics (noun) | topology (noun) |
|---|---|
| the branches of mathematics that study and develop the principles of mathematics for their own sake rather than for their immediate usefulness | 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 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 |
Words related to "pure mathematics"
Words related to "topology"
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