What context can I use each word in?
Learn when and how to use these words with these examples!
homeomorphic
Example
The two triangles are homeomorphic because they have the same number of sides and angles. [homeomorphic: adjective]
Example
The function is homeomorphic because it preserves the topology of the space. [homeomorphic: adjective]
isomorphic
Example
The two groups are isomorphic because they have the same number of elements and obey the same rules. [isomorphic: adjective]
Example
The function is isomorphic because it preserves the algebraic operations of the structures. [isomorphic: adjective]
Good things to know
Which word is more common?
Isomorphic is more commonly used than homeomorphic in mathematics, as it applies to a wider range of objects and structures.
What’s the difference in the tone of formality between homeomorphic and isomorphic?
Both homeomorphic and isomorphic are formal terms used in mathematics and are not commonly used in everyday language.
