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Lattice-valued bornological systems

机译:格值的胎教系统

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摘要

Motivated by the concept of lattice-valued topological system of J.T. Denniston, A. Melton, and S.E. Rodabaugh, which extends lattice-valued topological spaces, this paper introduces the notion of lattice-valued bornological system as a generalization of lattice-valued bornological spaces of M. Abel and A. Sostak. We aim at (and make the first steps towards) the theory, which will provide a common setting for both lattice-valued point-set and point-free bornology. In particular, we show the algebraic structure of the latter.
机译:受J.T.的格值拓扑系统概念的启发Denniston,A.Melton和S.E. Rodabaugh扩展了格值拓扑空间,本文介绍了格值出生系统的概念,作为对M. Abel和A. Sostak的格值出生空间的概括。我们针对该理论(并朝该理论迈出了第一步),该理论将为晶格值点集和无点胎教提供共同的设置。特别是,我们显示了后者的代数结构。

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