convergence approach spaces and approach spaces as lattice-valued convergence spaces

نویسندگان

gunther jager

چکیده

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

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عنوان ژورنال:
iranian journal of fuzzy systems

ناشر: university of sistan and baluchestan

ISSN 1735-0654

دوره 9

شماره 4 2012

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