Convergence in graded ditopological texture spaces

Ramazan Ekmekçi

Turkey

Çanakkale Onsekiz Mart University

Rıza Ertürk

Turkey

Hacettepe University

Submitted: 2015-08-19

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Accepted: 2016-01-09

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Published: 2016-04-12

DOI: https://doi.org/10.4995/agt.2016.4085
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Keywords:

Texture, Graded ditopology, graded difilter, fuzzy topology

Supporting agencies:

This research was not funded

Abstract:

Graded ditopological texture spaces have been presented and discussed in categorical aspects by Lawrence M. Brown and Alexander Sostak (see bibliography). In this paper, the authors generalize the structure of difilters in ditopological texture spaces defined in (see bibliography) to the graded ditopological texture spaces and compare the properties of difilters and graded difilters.
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References:

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(http://dx.doi.org/10.1016/S0165-0114(97)00358-8)

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(http://dx.doi.org/10.1016/S0165-0114(98)00157-2)

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(http://dx.doi.org/10.1016/j.fss.2004.02.009)

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(http://dx.doi.org/10.1016/j.fss.2004.02.010)

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(http://dx.doi.org/10.1070/RM1989v044n06ABEH002295)

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