quasireflexive
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English
[edit]Etymology
[edit]Adjective
[edit]quasireflexive (not comparable)
- (set theory) Of a relation ~ on a set S: such that every element that is related to some element is also related to itself, i.e. ∀x,y∈S: x~y ⇒ x~x ∧ y~y.
- (topology) Of a Banach space X: such that the quotient X ′′ / J(X) has finite dimension d. (It is then said to be "quasireflexive of order d".)