Phrase guide
Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.
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noun
Informally, a set such that the target point of a movement by a small amount in any direction from any point in the set is still in the set; exemplified by a full circle without its boundary.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, topology
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
A set which can be described as an (arbitrary) union of open balls. Equivalently, a set such that for every point in it, there is an open ball centered at that point, such that that open ball is contained by the set.
Definition source: English Wiktionary via Wiktextract
Qualifier: restricted to metric spaces
Topics: mathematical-analysis, mathematics, sciences, topology
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
noun
Most generally, a member of the topology of a given topological space.
Definition source: English Wiktionary via Wiktextract
Topics: mathematics, sciences, topology
No example sentence was provided for this meaning.
Synonyms: none provided
Antonyms: none provided
History
No etymology was provided for this word.
Across languages
13 source translations are retained for this English entry.
