Pasting Lemmas for g-Continuous Functions

Anitha, M.; Selvi, R.; Thangavelu, P.

doi:10.35834/mjms/1316032678

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“…Especially, it has a significant place in algebraic topology. Recent years, some new forms of the pasting lemma have been introduced by many mathematicians (for example, see [15], [38]- [42] and the references therein). Motivated by the above studies, we present two new version of the pasting lemma using mixed structure on a soft topological space.…”

Section: Introductionmentioning

confidence: 99%

Two New Versions of the Pasting Lemma via Soft Mixed Structure

Taş

2022

Fundamental Journal of Mathematics and Applications

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In this paper, we present two new generalizations of the pasting lemma using soft mixed structure. To do this, we introduce the notions of a $(\tau _{1},\tau _{2})$-$g$-closed soft set and a $(\tau _{1},\tau _{2})$-$gpr$% -closed soft set. We establish the notions of mixed $g$-soft continuity and mixed $gpr$-soft continuity between two soft topological spaces $(X,\tau _{1},\Delta _{1})$, $(X,\tau _{2},\Delta _{1})$ and a soft topological space $(X,\tau ,\Delta _{2})$. Finally we prove two new versions of the pasting lemma using the mixed $g$-soft continuous mapping and the mixed $gpr$-soft continuous mapping.

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Section: Introductionmentioning

confidence: 99%

Two New Versions of the Pasting Lemma via Soft Mixed Structure

Taş

2022

Fundamental Journal of Mathematics and Applications

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“…For example, this notion has an important role in algebraic topology. Many researchers have studied on various versions of the pasting lemma with different aspects (see [5,6,11,14,25] and the references therein for more details).…”

Section: Introductionmentioning

confidence: 99%

On the Pasting Lemma on a Fuzzy Soft Topological Space with Mixed Structure

Taş

2020

Mathematical Sciences and Applications E-Notes

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Pasting Lemmas for g-Continuous Functions

Cited by 2 publications

References 3 publications

Two New Versions of the Pasting Lemma via Soft Mixed Structure

Two New Versions of the Pasting Lemma via Soft Mixed Structure

On the Pasting Lemma on a Fuzzy Soft Topological Space with Mixed Structure

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