Decisive convergence spaces, Fréchet spaces and sequential spaces
نویسندگان
چکیده
منابع مشابه
CONVERGENCE APPROACH SPACES AND APPROACH SPACES AS LATTICE-VALUED CONVERGENCE SPACES
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 p...
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15 صفحه اولwavelets, modulation spaces and pseudidifferential operators
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Injective Convergence Spaces and Equilogical Spaces via Pretopological Spaces
Sierpinski space Ω is injective in the category Top of topological spaces, but not in any of the larger cartesian closed categories Conv of convergence spaces and Equ of equilogical spaces. We show that this negative result extends to all sub-cccs of Equ and Conv that are closed under subspaces and contain Top. On the other hand, we study the category PrTop of pretopological spaces that lies in...
متن کامل$L-$ordered Fuzzifying Convergence Spaces
Based on a complete Heyting algebra, we modify the definition oflattice-valued fuzzifying convergence space using fuzzy inclusionorder and construct in this way a Cartesian-closed category, calledthe category of $L-$ordered fuzzifying convergence spaces, in whichthe category of $L-$fuzzifying topological spaces can be embedded.In addition, two new categories are introduced, which are called the...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1971
ISSN: 0035-7596
DOI: 10.1216/rmj-1971-1-2-367