Isolated Monad Points on Amply Soft Topological Spaces

Year 2025, Volume: 15 Issue: 4, 1504 - 1512, 01.12.2025

Gürkan Karakaş , Orhan Göçür , Abdullah Kopuzlu

https://doi.org/10.21597/jist.1646500

https://izlik.org/JA34RJ83GB

Abstract

In this study, isolated monad points are introduced. For any amply soft set, an amply soft set of isolated monad points on amply soft topological spaces is defined. The relationship between limit monad points, closure points and isolated monad points is mentioned and some properties related to these are given. While creating amply soft sets in the given examples, special focus is given to amply soft topologies that are created by selecting real numbers from both universal and parametric spaces, unlike traditional soft sets.

Keywords

A new extended soft set , Amply soft set , Amply soft topology , Isolated monad point , Limit monad point

Amply Soft Topolojik Uzaylar Üzerinde İzole Monad Noktaları

https://izlik.org/JA34RJ83GB

Abstract

Bu çalışmada, izole monad noktaları tanıtılmıştır. Herhangi bir amply soft küme için, amply soft topolojik uzaylar üzerindeki izole monad noktalarının amply soft kümesi oluşturulmuştur. Limit monad noktaları ve kapanış noktaları ile izole monad noktaları arasındaki ilişkiye değinilmiş ve bununla ilgili bazı özellikler verilmiştir. Verilen örneklerde amply soft kümeler oluşturulurken, geleneksel soft kümelerden farklı olarak hem evrensel hem de parametrik uzaylardan reel sayılar seçilerek oluşturulan amply soft topolojilere özel olarak odaklanılmıştır.

Keywords

Bir yeni genelleştirilmiş soft küme , Amply soft küme , Amply soft topoloji , İzole monad nokta , Limit monad nokta

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