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New topologies from old via ideals
Dragan Jankovic,T. R. Hamlett +1 more
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In this paper, the authors present a new topology from old via Ideals, which they call New Topologies from Old through Ideals (New Topology from Old via IBE).Abstract:
(1990). New Topologies from Old via Ideals. The American Mathematical Monthly: Vol. 97, No. 4, pp. 295-310.read more
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On decompositions of continuity via idealization
E. Hatir,Takashi Noiri +1 more
TL;DR: In this paper, the authors introduced α-I-open, semi-open and β-open sets via idealization and using these sets obtained new decompositions of continuity.
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On δ–β-continuous functions
E. Hatir,Takashi Noiri +1 more
TL;DR: In this article, the properties of δ-β-continuous functions are investigated and characterizations and relationships with related functions are discussed, and a decomposition of continuity and complete continuity is given.
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Fuzzy ideal theory: fuzzy local function and generated fuzzy topology
TL;DR: The notion of fuzzy ideal in fuzzy set theory and the notion of compatibility of fuzzy ideals with fuzzy topologies, are introduced and some equivalent conditions concerning this are established here.
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Unified operation approach of generalized closed sets via topological ideals
TL;DR: In this article, the concepts of topological ideals, operation functions and generalized closed sets are unified, and the aim of the work is to unify the notions of topology ideals, operations and closed sets.
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Modification of generalized topologies via hereditary classes
TL;DR: In this paper, the authors show that the construction leading from a topology and an ideal of sets to another topology remains valid, together with a lot of applications, if topology is replaced by generalized topology, and ideal by hereditary class.
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