ORCID
Florentin Smarandache: 0000-0002-5560-5926
Article Type
Original Study
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.
How to Cite
Smarandache, Florentin
(2025)
"Foundation of Revolutionary Topologies: An Overview, Examples, Trend Analysis, Research Issues, Challenges, and Future Directions,"
Neutrosophic Systems with Applications: Vol. 13:
Iss.
1, Article 6.
DOI: https://doi.org/10.61356/j.nswa.2024.125
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
