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<p>A ventana is a special kind of a basis of a topology, a ventana being a collection of sets which is closed wrt finite intersections and also wrt finite unions. Thus, a ventana is a generalization of a topology. Ventanas were the objects studied in a paper published in 2016. In 1973, T-categories were defined via axioms and were shown to be the sorts of categories in which initial sources and final sinks exist. The category <b>Topology</b> was, up to isomorphism, determined via axioms added to the T-category axioms. In this paper, it is established that <b>Ventana</b> is a T-category and is also, up to isomorphism, determined via axioms added to the T-category axioms.</p>

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The characterization of ventana as a T-category

  • 期刊论文

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  • 发表日期：

    2026年7月14日

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  • H. L. Bentley

摘要

A ventana is a special kind of a basis of a topology, a ventana being a collection of sets which is closed wrt finite intersections and also wrt finite unions. Thus, a ventana is a generalization of a topology. Ventanas were the objects studied in a paper published in 2016. In 1973, T-categories were defined via axioms and were shown to be the sorts of categories in which initial sources and final sinks exist. The category Topology was, up to isomorphism, determined via axioms added to the T-category axioms. In this paper, it is established that Ventana is a T-category and is also, up to isomorphism, determined via axioms added to the T-category axioms.