Bornological countable enlargements

I. Tweddle

    Research output: Contribution to journalArticle

    4 Citations (Scopus)

    Abstract

    We show that for a non-flat bornological space there is always a bornological countable enlargement; moreover, when the space is non-flat and ultrabornological the countable enlargement may be chosen to be both bornological and barrelled. It is also shown that countable enlargements for barrelled or bornological spaces are always Mackey topologies, and every quasibarrelled space that is not barrelled has a quasibarrelled countable enlargement.
    Original languageEnglish
    Pages (from-to)35-44
    Number of pages9
    JournalProceedings of the Edinburgh Mathematical Society
    Volume46
    Issue number1
    DOIs
    Publication statusPublished - 2003

    Keywords

    • countable enlargement
    • bornological space
    • quasibarrelled space
    • Mackey topology
    • physics

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