A note on W-I-continuous functions

Kuyucu, F.; Noiri, Takashi; Özkurt, Ali

doi:10.1007/s10474-007-7066-6

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Theorem 6 ([7]1

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2019

2022

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Cited by 4 publications

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“…Recently, at this topic also worked: Kuyucu, Noiri and Özkurt [12]; Özkurt [16]; Ekici [2]; Al-Omari and Noiri [1]; Vadivel and Navuluri [21]; Goyal and Noorie [5].…”

Section: Theorem 6 ([7]mentioning

confidence: 99%

On preserving continuity in ideal topological spaces

Anika¹,

Pavlović²

2021

Preprint

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We present some sufficient conditions for continuity of the mapping f : X, τ * X → Y, τ * Y , where τ * X and τ * Y are topologies induced by the local function on X and Y , resp. under the assumption that the mapping from X, τX to Y, τY is continuous. Further, we consider open and closed functions in this matter, as we state the cases in which the open (or closed) mapping is being preserved through the "idealisation" of both domain and codomain. Through several examples we illustrate that the conditions we considered can not be weakened.

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“…Recently, at this topic also worked: Kuyucu, Noiri and Özkurt [12]; Özkurt [16]; Ekici [2]; Al-Omari and Noiri [1]; Vadivel and Navuluri [21]; Goyal and Noorie [5].…”

Section: Theorem 6 ([7]mentioning

confidence: 99%