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Some classes of linear bornological spaces

Published online by Cambridge University Press:  14 November 2011

Miguel A. Canela
Miguel A. Canela
Affiliation:
Departamento de Teoría de Funciones, Facultad de Matemáticas, Universidad de Barcelona, Gran Vía 585, Barcelona 7, Spain
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Synopsis

In this paper, two classes of linear bornological spaces are considered, the Kolmogorov spaces and the spaces of type b. These spaces satisfy conditions which are weakenings of the definition of infratopological linear bornological spaces. Various properties of these spaces are proved, and two examples are given, showing the independence of the two conditions introduced.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 90 , Issue 1-2 , 1981 , pp. 155 - 161
Copyright
Copyright © Royal Society of Edinburgh 1981

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