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Bornologies, selection principles and function spaces

Topology and its Applications, ISSN: 0166-8641, Vol: 159, Issue: 7, Page: 1847-1852
2012
  • 26
    Citations
  • 0
    Usage
  • 7
    Captures
  • 0
    Mentions
  • 0
    Social Media
Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    26
    • Citation Indexes
      26
  • Captures
    7

Article Description

We study some closure-type properties of function spaces endowed with the new topology of strong uniform convergence on a bornology introduced by Beer and Levi in 2009. The study of these function spaces was initiated in [G. Beer, S. Levi, Strong uniform continuity, J. Math. Anal. Appl. 350 (2009) 568–589] and [A. Caserta, G. Di Maio, Lʼ. Holá, Arzelàʼs Theorem and strong uniform convergence on bornologies, J. Math. Anal. Appl. 371 (2010) 384–392]. The properties we study are related to selection principles.

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