利用软半开集定义和研究新的软序映射

Pub Date : 2021-08-01 DOI:10.2478/ausm-2021-0008

T. Al-shami

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引用次数: 11

摘要

摘要本文利用软半开集定义新的软有序映射，即软x-半连续映射、软x-半开映射、软x-半闭映射和软x-半同胚映射，其中x表示单调类型。为了说明它们之间的关系，我们提供一些说明性的例子。然后对每一种类型给出了完整的描述。此外，我们还研究了这些映射在软空间和经典拓扑有序空间之间的“传输”。

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Defining and investigating new soft ordered maps by using soft semi open sets

Abstract Here, we employ soft semi open sets to define new soft ordered maps, namely soft x-semi continuous, soft x-semi open, soft x-semi closed and soft x-semi homeomorphism maps, where x denotes the type of monotonicity. To show the relationships among them, we provide some illustrative examples. Then we give complete descriptions for each one of them. Also, we investigate “transmission” of these maps between soft and classical topological ordered spaces.

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