New Types of Topologies and Neutrosophic Topologies (Improved Version)

Authors

  • Florentin Smarandache

Abstract

In this paper we recall the six new types of topologies, and their corresponding
topological spaces, that we introduced in the last years (2019-20223), such as: NeutroTopology,
AntiTopology, Refined Neutrosophic Topology, Refined Neutrosophic Crisp Topology,
SuperHyperTopology, and Neutrosophic SuperHyperTopology.
The nth-PowerSets
( ) n P H
and
*
( ) n P H
, that the SuperHyperTopology and respectively
Neutrosophic SuperHyperTopology are based on, better describe our real world, since a system H
(that may be a set, company, institution, country, region, etc.) is organized in sub-systems, which in
their turn are organized each in sub-sub-systems, and so on

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Published

2023-12-11

Issue

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

How to Cite

Florentin Smarandache. (2023). New Types of Topologies and Neutrosophic Topologies (Improved Version). Neutrosophic Sets and Systems, 57, 234-244. https://fs.unm.edu/nss8/index.php/111/article/view/3515

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