Introduction to Non-Standard Neutrosophic Topology

• Main Authors: Mohammed A. Al Shumrani, Florentin Smarandache
• Format: Article
• Language: English
• Published: MDPI AG 2019-05-01
• Series: Symmetry
• Subjects: non-standard analysis; extended non-standard analysis; monad; binad; left monad closed to the right; right monad closed to the left; pierced binad; unpierced binad; non-standard neutrosophic mobinad set; neutrosophic topology; non-standard neutrosophic topology
• Online Access: https://www.mdpi.com/2073-8994/11/5/706
• ISSN: 2073-8994

For the first time we introduce non-standard neutrosophic topology on the extended non-standard analysis space, called non-standard real monad space, which is closed under neutrosophic non-standard infimum and supremum. Many classical topological concepts are extended to the non-standard neutrosophic topology, several theorems and properties about them are proven, and many examples are presented.