The concept of separation of two αω-open sets is done via ultra-αω-separation. Also this separation is used to define αω-kernel and αω-closure. In addition to this, weak separation axioms like αω-T0 spaces and αω-T1 spaces are introduced, and its properties are studied. © 2018, Springer Nature Switzerland AG.

Parimala M

Department of Software and Systems Engineering

School of Information Technology and Engineering

Vellore Campus

Udhayakumar R

Department of Mathematics

School of Advanced Sciences

Ozel C

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

On Ultra Separation Axioms via αω-Open Sets

Trends in Mathematics Advances in Algebra and Analysis

In this article, the concept of neutrosophic homeomorphism and neutrosophic αψ homeomorphism in neutrosophic topological spaces is introduced. Further, the work is extended as neutrosophic αψ∗ homeomorphism, neutrosophic αψ open and closed mapping and neutrosophic Tαψ space in neutrosophic topological spaces and establishes some of their related attributes.

Journal	Data powered by TypesetTrends in Mathematics Advances in Algebra and Analysis
Publisher	Data powered by TypesetSpringer International Publishing
ISSN	2297-0215
Open Access	No