Ultrabornological structures

[摘要] The purpose of this note is to extend Warner's idea of“bornological structures“ to cover non-locally convex situations and todevelop a framework unifying several variations on an ultrabornologicaltheme (for example, ultrabornological spaces,o-ultrabornological spaces,i-ultrabornological algebras). We do this by first generalising the conceptof a “structure” on a vector space as defined by Warner.

[学科分类] 数学（综合）