Quantification of topological concepts using ideals

Robert Lowen and Bart Windels

International Journal of Mathematics and Mathematical Sciences, 2001, vol. 26, 1-19

Abstract:

We introduce certain ideals of real-valued functions as a natural generalization of filters. We show that these ideals establish a canonical framework for the quantification of topological concepts, such as closedness, adherence, and compactness, in the setting of approach spaces.

Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:125765

DOI: 10.1155/S0161171201005439

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