Foundation of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, and Future Directions

Journal Title: Neutrosophic Systems with Applications - Year 2024, Vol 13, Issue 1

Abstract

We now found nine new topologies, such as: NonStandard Topology, Largest Extended NonStandard Real Topology, Neutrosophic Triplet Weak/Strong Topologies, Neutrosophic Extended Triplet Weak/Strong Topologies, Neutrosophic Duplet Topology, Neutrosophic Extended Duplet Topology, Neutrosophic MultiSet Topology, and recall and improve the seven previously founded topologies in the years (2019-2023), namely: NonStandard Neutrosophic Topology, NeutroTopology, AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology, SuperHyperTopology, and Neutrosophic SuperHyperTopology. They are called avantgarde topologies because of their innovative forms.

Authors and Affiliations

Florentin Smarandache

Keywords

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  • EP ID EP729601
  • DOI https://doi.org/10.61356/j.nswa.2024.125
  • Views 37
  • Downloads 1

How To Cite

Florentin Smarandache (2024). Foundation of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, and Future Directions. Neutrosophic Systems with Applications, 13(1), -. https://europub.co.uk/articles/-A-729601