What does "isomorphism" mean?
Similarity of form
Isomorphism
/ˌaɪsə(ʊ)ˈmɔɹfɪzəm/ noun
noun ·Rare ·Advanced level
Meaning at a glance
- Primary sense: Similarity of form
- Grammar: isomorphism is listed as noun.
- Nearest alternatives: alikeness, isomorphy, similitude.
- Useful contrasts: anisomorphism.
- Usage evidence: The module has only countably many direct summands up to isomorphism.
How to use "isomorphism"
- Start with the primary definition, then check the part of speech before placing the word in a sentence.
- Compare nearby synonyms to make sure "isomorphism" carries the exact meaning, tone, and strength you need.
- Use the example sentence as a context check. If your sentence uses the word differently, confirm that the grammar still fits.
Meaning check
- Does the word fit the sentence's grammar?
- Does it match the intended tone rather than only the dictionary definition?
- Would a simpler synonym be clearer for the reader?
- Is there enough surrounding context to prevent ambiguity?
Source and review context
This entry combines structured lexical data with WordToolSet review checks. Definitions, examples, synonyms, and usage notes may come from different source tables, so the page is designed to show evidence from more than one angle before you rely on "isomorphism" in a final draft.
If a word has several senses, prefer the sense that matches your sentence's grammar and surrounding context. A correct definition can still be the wrong choice when the sentence needs a different register, emphasis, or level of specificity.
Before you rely on this definition
Read the first definition as a starting point, then check the example, synonyms, and part of speech before treating "isomorphism" as the right word for your sentence.
If your draft is formal, technical, persuasive, or sensitive, compare "isomorphism" with a nearby alternative so the final choice matches both meaning and reader expectation.
Compare nearby meanings
- Use synonyms when you need a softer, stronger, simpler, or more specific word.
- Use antonyms to check the boundary of the meaning and avoid accidental contrast.
- Use the example sentence to confirm the word behaves naturally in context.
- Keep the original wording when a replacement adds complexity without improving precision.
Definition decision workflow
1. Identify the role
Check whether "isomorphism" is acting as noun in your sentence. A definition is only useful when the grammar matches the way the word is being used.
2. Test the nearest option
Compare it with "alikeness" and other nearby choices to see whether the sentence needs a softer, stronger, or more familiar word.
3. Confirm with context
Use the example sentence below as an evidence check, then read your own sentence out loud to catch tone or rhythm problems.
Review note: Definition pages are checked for source coverage, sentence evidence, synonym support, and editorial insight before they are treated as approval-ready pages. If the evidence is too thin, the page remains available to users but is kept out of the approval-facing indexed inventory.
Final meaning check
Before publishing a sentence with "isomorphism", ask whether the word helps the reader understand the idea faster. A precise word should reduce confusion, not simply make the sentence look more polished.
When the definition, synonym evidence, and example context point in the same direction, the word is usually a safer choice. When they conflict, revise the sentence or choose a clearer alternative.
Definitions
Noun
- 1 Similarity of form countable, uncountable
"The postulated isomorphism between words and things constitutes the characterizing feature of all philosophically based universal languages."
- 2 (biology) similarity or identity of form or shape or structure wordnet
- 3 Similarity of form; the similarity in form of organisms, which may be due to convergent evolution or shared genetic background, e.g. an algae species in which the haploid and diploid life stages are indistinguishable based on morphology. countable, uncountable
- 4 Similarity of form; the similarity in the crystal structures of similar chemical compounds. countable, uncountable
"The isomorphism of compounds does not prove the isomorphism of their respective constituents."
- 5 Similarity of form; the similarity in the structure or processes of different organizations. countable, uncountable
Show 3 more definitions
- 6 A one-to-one correspondence; A bijection f such that both f and its inverse f⁻¹ are homomorphisms, that is, structure-preserving mappings. countable, uncountable
- 7 A one-to-one correspondence; a one-to-one correspondence between all the elements of two sets, e.g. the instances of two classes, or the records in two datasets. countable, uncountable
- 8 A one-to-one correspondence; A morphism which has a two-sided inverse; the composition of the morphism and such an inverse yields either one of two identity morphisms (depending on the order of composition). countable, uncountable
Synonyms
All synonymsAntonyms
Example
"The module has only countably many direct summands up to isomorphism."
Common questions
What is a synonym for "isomorphism"?
Common synonyms include: alikeness, isomorphy, similitude.
How do you use "isomorphism" in a sentence?
The module has only countably many direct summands up to isomorphism.
How do you pronounce "isomorphism"?
Pronounced /ˌaɪsə(ʊ)ˈmɔɹfɪzəm/.
Etymology
From iso- + -morphism.