"quasireflexive" meaning in All languages combined

See quasireflexive on Wiktionary

Adjective [English]

Etymology: From quasi- + reflexive. Etymology templates: {{prefix|en|quasi|reflexive}} quasi- + reflexive Head templates: {{en-adj|-}} quasireflexive (not comparable)
  1. (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. Tags: not-comparable Categories (topical): Set theory
    Sense id: en-quasireflexive-en-adj-oorcHlR2 Topics: mathematics, sciences, set-theory
  2. (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".) Tags: not-comparable Categories (topical): Topology
    Sense id: en-quasireflexive-en-adj-4dO5AE~V Categories (other): English entries with incorrect language header, English terms prefixed with quasi-, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 14 86 Disambiguation of English terms prefixed with quasi-: 13 87 Disambiguation of Pages with 1 entry: 18 82 Disambiguation of Pages with entries: 4 96 Topics: mathematics, sciences, topology
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        "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."
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      ],
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  "word": "quasireflexive"
}

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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-11-06 from the enwiktionary dump dated 2024-10-02 using wiktextract (fbeafe8 and 7f03c9b). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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