Bornological countable enlargements

Tweddle, I. (2003) Bornological countable enlargements. Proceedings of the Edinburgh Mathematical Society, 46 (1). pp. 35-44. ISSN 0013-0915 (http://dx.doi.org/10.1017/S0013091501000591)

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.

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• Item metadata

  Item type:	Article
  ID code:	2141
  Dates:	Date Event 2003 Published
  Subjects:	Science > Mathematics Science > Physics
  Department:	Faculty of Science > Mathematics and Statistics > Mathematics
  Depositing user:	Strathprints Administrator
  Date deposited:	24 Nov 2006
  Last modified:	11 Nov 2024 08:24
  URI:	https://strathprints.strath.ac.uk/id/eprint/2141