CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES

Publish Year: 1391
نوع سند: مقاله ژورنالی
زبان: English
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JR_IJFS-9-4_002

تاریخ نمایه سازی: 7 تیر 1401

Abstract:

We show that the category of convergence approach spaces is a simultaneously reective and coreective subcategory of the category of latticevalued limit spaces. Further we study the preservation of diagonal conditions, which characterize approach spaces. It is shown that the category of preapproach spaces is a simultaneously reective and coreective subcategory of the category of lattice-valued pretopological spaces and that the category of approach spaces is a coreective subcategory of a category of lattice-valued topological convergence spaces

Authors

Gunther Jager

Department of Statistics, Rhodes University, ۶۱۴۰ Grahamstown, South Africa

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