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arXiv · 2209.12676

Primal Topological Spaces

Santanu Acharjee·Murad Özkoç·Faical Yacine Issaka
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Abstract

The purpose of this paper is to introduce a new structure `primal'. Primal is dual to grill. Like ideal, dual of filter, this new structure also generates a new topology named `primal topology'. We introduce a new operator using primal, which satisfies Kuratowski's closure axioms. Mainly, we prove that primal topology is finer than the topology of a primal topological space. We provide structure of base of primal topology and prove other fundamental results related to this new structure.

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Santanu Acharjee, Murad Özkoç, Faical Yacine Issaka. 2022-08-27. Primal Topological Spaces. https://arxiv.org/abs/2209.12676

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